Relevant bibliographies by topics / Regularisation in Banach spaces

Academic literature on the topic 'Regularisation in Banach spaces'

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Published: 7 July 2024
Last updated: 7 July 2024

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Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Journal articles on the topic "Regularisation in Banach spaces":

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Simons, S. "Regularisations of convex functions and slicewise suprema." Bulletin of the Australian Mathematical Society 50, no. 3 (December 1994): 481–99. http://dx.doi.org/10.1017/s0004972700013599.

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For a number of years, there has been interest in the regularisation of a given proper convex lower semicontinuous function on a Banach space, defined to be the episum (=inf-convolution) of the function with a scalar multiple of the norm. There is an obvious geometric way of characterising this regularisation as the lower envelope of cones lying above the graph of the original function. In this paper, we consider the more interesting problem of characterising the regularisation in terms of approximations from below, expressing the regularisation as the upper envelope of certain subtangents to the graph of the original function. We shall show that such an approximation is sometimes (but not always) valid. Further, we shall give an extension of the whole procedure in which the scalar multiple of the norm is replaced by a more general sublinear functional. As a by-product of our analysis, we are led to the consideration of two senses stronger than the pointwise sense in which a function on a Banach space can be expressed as the upper envelope of a family of functions. These new senses of suprema lead to some questions in Banach space theorey.
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Werner, Dirk. "Indecomposable Banach spaces." Acta et Commentationes Universitatis Tartuensis de Mathematica 5 (December 31, 2001): 89–105. http://dx.doi.org/10.12697/acutm.2001.05.08.

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This paper aims at describing Tim Gowers' contributions to Banach space theory that earned him the Fields medal in 1998. In particular, the construction of the Gowers-Maurey space, a Banach space not containing an unconditional basic sequence, is sketched as is the Gowers dichotomy theorem that led to the solution of the homogeneous Banach space problem. Moreover, Gowers' counterexamples to the hyperplane problem and the Schröder-Bernstein problem are discussed. The paper is an extended version of a talk given at Freie Universität Berlin in December 1999; hence the reference to the next millennium at the very end actually appeals to the present millennium. It should be accessible to anyone with a basic knowledge of functional analysis and of German.
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Kusraev, A. G. "Banach-Kantorovich spaces." Siberian Mathematical Journal 26, no. 2 (1985): 254–59. http://dx.doi.org/10.1007/bf00968770.

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Oikhberg, T., and E. Spinu. "Subprojective Banach spaces." Journal of Mathematical Analysis and Applications 424, no. 1 (April 2015): 613–35. http://dx.doi.org/10.1016/j.jmaa.2014.11.008.

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González, Manuel, and Javier Pello. "Superprojective Banach spaces." Journal of Mathematical Analysis and Applications 437, no. 2 (May 2016): 1140–51. http://dx.doi.org/10.1016/j.jmaa.2016.01.033.

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Qiu, Jing Hui, and Kelly McKennon. "Banach-Mackey spaces." International Journal of Mathematics and Mathematical Sciences 14, no. 2 (1991): 215–19. http://dx.doi.org/10.1155/s0161171291000224.

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In recent publications the concepts of fast completeness and local barreledness have been shown to be related to the property of all weak-*bounded subsets of the dual (of a locally convex space) being strongly bounded. In this paper we clarify those relationships, as well as giving several different characterizations of this property.
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Dineen, Seán, and Michael Mackey. "Confined Banach spaces." Archiv der Mathematik 87, no. 3 (September 2006): 227–32. http://dx.doi.org/10.1007/s00013-006-1693-y.

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Ferenczi, Valentin, and Christian Rosendal. "Ergodic Banach spaces." Advances in Mathematics 195, no. 1 (August 2005): 259–82. http://dx.doi.org/10.1016/j.aim.2004.08.008.

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Bastero, Jesús. "Embedding unconditional stable banach spaces into symmetric stable banach spaces." Israel Journal of Mathematics 53, no. 3 (December 1986): 373–80. http://dx.doi.org/10.1007/bf02786569.

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SHEKHAR, CHANDER, TARA ., and GHANSHYAM SINGH RATHORE. "RETRO K-BANACH FRAMES IN BANACH SPACES." Poincare Journal of Analysis and Applications 05, no. 2.1 (December 30, 2018): 65–75. http://dx.doi.org/10.46753/pjaa.2018.v05i02(i).003.

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You might also be interested in the extended bibliographies on the topic 'Regularisation in Banach spaces' for particular source types:
Journal articles Dissertations / Theses Books

Dissertations / Theses on the topic "Regularisation in Banach spaces":

1

Lazzaretti, Marta. "Algorithmes d'optimisation dans des espaces de Banach non standard pour problèmes inverses en imagerie." Electronic Thesis or Diss., Université Côte d'Azur, 2024. http://www.theses.fr/2024COAZ4009.

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Cette thèse porte sur la modélisation, l'analyse théorique et l'implémentation numérique d'algorithmes d'optimisation pour la résolution de problèmes inverses d'imagerie (par exemple, la reconstruction d'images en tomographie et la déconvolution d'images en microscopie) dans des espaces de Banach non standard. Elle est divisée en deux parties: dans la première, nous considérons le cadre des espaces de Lebesgue à exposant variable L^{p(cdot)} afin d'améliorer l'adaptabilité de la solution par rapport aux reconstructions obtenues dans le cas standard d'espaces d'Hilbert; dans la deuxième partie, nous considérons une modélisation dans l'espace des mesures de Radon pour éviter les biais dus à la discrétisation observés dans les méthodes de régularisation parcimonieuse. Plus en détail, la première partie explore à la fois des algorithmes d'optimisation lisse et non lisse dans les espaces L^{p(cdot)} réflexifs, qui sont des espaces de Banach dotés de la norme dite de Luxemburg. Comme premier résultat, nous fournissons une expression des cartes de dualité dans ces espaces, qui sont un ingrédient essentiel pour la conception d'algorithmes itératifs efficaces. Pour surmonter la non-séparabilité de la norme sous-jacente et les temps de calcul conséquents, nous étudions ensuite la classe des fonctions modulaires qui étendent directement la puissance (non homogène) p > 1 des normes L^p au cadre L^{p(cdot)}. En termes de fonctions modulaires, nous formulons des analogues des cartes duales qui sont plus adaptées aux algorithmes d'optimisation lisse et non lisse en raison de leur séparabilité. Nous étudions alors des algorithmes de descente de gradient (à la fois déterministes et stochastiques) basés sur les fonctions modulaires, ainsi que des algorithmes modulaires de gradient proximal dans L^{p(cdot)}, dont nous prouvons la convergence en termes des valeurs de la fonctionnelle. La flexibilité de ces espaces s'avère particulièrement avantageuse pour la modélisation de la parcimonie et les statistiques hétérogènes du signal/bruit, tout en restant efficace et stable d'un point de vue de l'optimisation. Nous validons cela numériquement de manière approfondie sur des problèmes inverses exemplaires en une/deux dimension(s) (déconvolution, débruitage mixte, tomographie). La deuxième partie de la thèse se concentre sur la formulation des problèmes inverses avec un bruit de Poisson formulés dans l'espace des mesures de Radon. Notre contribution consiste en la modélisation d'un modèle variationnel qui couple un terme de données de divergence de Kullback-Leibler avec la régularisation de la Variation Totale de la mesure souhaitée (une somme pondérée de Diracs) et une contrainte de non-négativité. Nous proposons une étude détaillée des conditions d'optimalité et du problème dual correspondant. Nous considérons une version améliorée de l'algorithme de Sliding Franke-Wolfe pour calculer la solution numérique du problème de manière efficace. Pour limiter la dépendance des résultats du choix du paramètre de régularisation, nous considérons une stratégie d'homotopie pour son ajustement automatique où à chaque itération algorithmique, on vérifie si un critère d'arrêt défini en termes du niveau de bruit est vérifié et on met à jour le paramètre de régularisation en conséquence. Plusieurs expériences numériques sont rapportées à la fois sur des données de microscopie de fluorescence simulées en 1D/2D et réelles en 3D
This thesis focuses on the modelling, the theoretical analysis and the numerical implementation of advanced optimisation algorithms for imaging inverse problems (e.g,., image reconstruction in computed tomography, image deconvolution in microscopy imaging) in non-standard Banach spaces. It is divided into two parts: in the former, the setting of Lebesgue spaces with a variable exponent map L^{p(cdot)} is considered to improve adaptivity of the solution with respect to standard Hilbert reconstructions; in the latter a modelling in the space of Radon measures is used to avoid the biases observed in sparse regularisation methods due to discretisation.In more detail, the first part explores both smooth and non-smooth optimisation algorithms in reflexive L^{p(cdot)} spaces, which are Banach spaces endowed with the so-called Luxemburg norm. As a first result, we provide an expression of the duality maps in those spaces, which are an essential ingredient for the design of effective iterative algorithms.To overcome the non-separability of the underlying norm and the consequent heavy computation times, we then study the class of modular functionals which directly extend the (non-homogeneous) p-power of L^p-norms to the general L^{p(cdot)}. In terms of the modular functions, we formulate handy analogues of duality maps, which are amenable for both smooth and non-smooth optimisation algorithms due to their separability. We thus study modular-based gradient descent (both in deterministic and in a stochastic setting) and modular-based proximal gradient algorithms in L^{p(cdot)}, and prove their convergence in function values. The spatial flexibility of such spaces proves to be particularly advantageous in addressing sparsity, edge-preserving and heterogeneous signal/noise statistics, while remaining efficient and stable from an optimisation perspective. We numerically validate this extensively on 1D/2D exemplar inverse problems (deconvolution, mixed denoising, CT reconstruction). The second part of the thesis focuses on off-the-grid Poisson inverse problems formulated within the space of Radon measures. Our contribution consists in the modelling of a variational model which couples a Kullback-Leibler data term with the Total Variation regularisation of the desired measure (that is, a weighted sum of Diracs) together with a non-negativity constraint. A detailed study of the optimality conditions and of the corresponding dual problem is carried out and an improved version of the Sliding Franke-Wolfe algorithm is used for computing the numerical solution efficiently. To mitigate the dependence of the results on the choice of the regularisation parameter, an homotopy strategy is proposed for its automatic tuning, where, at each algorithmic iteration checks whether an informed stopping criterion defined in terms of the noise level is verified and update the regularisation parameter accordingly. Several numerical experiments are reported on both simulated 2D and real 3D fluorescence microscopy data
2

Bird, Alistair. "A study of James-Schreier spaces as Banach spaces and Banach algebras." Thesis, Lancaster University, 2010. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.551626.

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We define and study a new family of Banach spaces, the J ames-Schreier spaces, cre- ated by combining key properties in the definitions of two important classical Banach spaces, namely James' quasi-reflexive space and Schreier's space. We explore both the Banach space and Banach algebra theory of these spaces. The new spaces inherit aspects of both parent spaces: our main results are that the J ames-Schreier spaces each have a shrinking basis, do not embed in a Banach space with an unconditional basis, and each of their closed, infinite-dimensional subspaces contains a copy of Co. As Banach sequence algebras each James-Schreier space has a bounded approx- imate identity and is weakly amenable but not amenable, and the bidual and multiplier - algebra are isometrically isomorphic. We approach our study of Banach sequence algebras from the point of view of Schauder basis theory, in particular looking at those Banach sequence algebras for which the unit vectors form an unconditional or shrinking basis. We finally show that for each Banach space X with an unconditional basis we may construct a James-like Banach sequence algebra j(X) with a bounded approximate identity, and give a condition on the shift operators acting on X which implies that j(X) will contain a copy of X as a complemented ideal and hence not be amenable.
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Ives, Dean James. "Differentiability in Banach spaces." Thesis, University College London (University of London), 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.390609.

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González, Correa Alma Lucía. "Compacta in Banach spaces." Doctoral thesis, Universitat Politècnica de València, 2010. http://hdl.handle.net/10251/8312.

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Capítulo 1. Después de estudiar algunos preliminares sobre familias adecuadas de conjuntos, formulamos y probamos algunas equivalencias, cada una de ellas son una condición suficiente para que la familia defina un conjunto compacto de Gul'ko. Damos una caracterización de conjunto compacto de Gul'ko en términos de emparejamiento con un conjunto $\mathcal{K}$-analítico. Capítulo 2. Estudiamos propiedades de los espacios de Banach débilmente Lindelöf determinados no-separables. Damos una caracterización por medio de la existencia de un generador proyeccional full sobre él. Estudiamos algunos aspectos sobre sistemas biortogonales en espacios de Banach. Usando técnicas de resoluciones proyeccionales de la identidad, probamos una extensión de un resultado de Argyros y Mercourakis. Capítulo 3. En el espacio $(c_0(\Gamma),\|\cdot\|_\infty)$, con $\Gamma\in\mathbb{R}$, damos una norma equivalente estrictamente convexa. Capítulo 4. Consideramos una caracterización de los subespacios de espacios de Banach débilmente compactamente generados, en términos de una propiedad de cubrimiento de la bola unidad por medio de conjuntos $\epsilon$-débilmente compactos. Reemplazamos este concepto por otro más preciso que llamamos $\epsilon$-débilmente auto-compactos, este concepto permite una mejor descripción. Capítulo 5. Damos condiciones intrínsecas, necesarias y suficientes para que un espacio de Banach sea generado por $c_0(\Gamma)$ o $\ell_p(\Gamma)$ para $p\in(1,+\infty)$. Ofrecemos una nueva demostración de un resultado de Rosenthal, sobre operadores de $c_0(\Gamma)$ en un espacio de Banach.
González Correa, AL. (2008). Compacta in Banach spaces [Tesis doctoral no publicada]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/8312
Palancia
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Lammers, Mark C. "Genus n Banach spaces /." free to MU campus, to others for purchase, 1997. http://wwwlib.umi.com/cr/mo/fullcit?p9841162.

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Randrianarivony, Nirina Lovasoa. "Nonlinear classification of Banach spaces." Diss., Texas A&M University, 2005. http://hdl.handle.net/1969.1/2590.

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We study the geometric classification of Banach spaces via Lipschitz, uniformly continuous, and coarse mappings. We prove that a Banach space which is uniformly homeomorphic to a linear quotient of lp is itself a linear quotient of lp when p<2. We show that a Banach space which is Lipschitz universal for all separable metric spaces cannot be asymptotically uniformly convex. Next we consider coarse embedding maps as defined by Gromov, and show that lp cannot coarsely embed into a Hilbert space when p> 2. We then build upon the method of this proof to show that a quasi-Banach space coarsely embeds into a Hilbert space if and only if it is isomorphic to a subspace of L0(??) for some probability space (Ω,B,??).
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Gowers, William T. "Symmetric structures in Banach spaces." Thesis, University of Cambridge, 1990. https://www.repository.cam.ac.uk/handle/1810/252814.

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Patterson, Wanda Ethel Diane McNair. "Problems in classical banach spaces." Diss., Georgia Institute of Technology, 1988. http://hdl.handle.net/1853/30288.

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Dew, N. "Asymptotic structure of Banach spaces." Thesis, University of Oxford, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.270612.

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The notion of asymptotic structure of an infinite dimensional Banach space was introduced by Maurey, Milman and Tomczak-Jaegermann. The asymptotic structure consists of those finite dimensional spaces which can be found everywhere `at infinity'. These are defined as the spaces for which there is a winning strategy in a certain vector game. The above authors introduced the class of asymptotic $\ell_p$ spaces, which are the spaces having simplest possible asymptotic structure. Key examples of such spaces are Tsirelson's space and James' space. We prove some new properties of general asymptotic $\ell_p$ spaces and also compare the notion of asymptotic $\ell_2$ with other notions of asymptotic Hilbert space behaviour such as weak Hilbert and asymptotically Hilbertian. We study some properties of smooth functions defined on subsets of asymptotic $\ell_\infty$ spaces. Using these results we show that that an asymptotic $\ell_\infty$ space which has a suitably smooth norm is isomorphically polyhedral, and therefore admits an equivalent analytic norm. We give a sufficient condition for a generalized Orlicz space to be a stabilized asymptotic $\ell_\infty$ space, and hence obtain some new examples of asymptotic $\ell_\infty$ spaces. We also show that every generalized Orlicz space which is stabilized asymptotic $\ell_\infty$ is isomorphically polyhedral. In 1991 Gowers and Maurey constructed the first example of a space which did not contain an unconditional basic sequence. In fact their example had a stronger property, namely that it was hereditarily indecomposable. The space they constructed was `$\ell_1$-like' in the sense that for any $n$ successive vectors $x_1 < \ldots < x_n$, $\frac{1}{f(n)} \sum_{i=1}^n \| x_i \| \leq \| \sum_{i=1}^n x_i \| \leq \sum_{i=1}^n \| x_i \|,$ where $ f(n) = \log_2 (n+1) $. We present an adaptation of this construction to obtain, for each $ p \in (1, \infty)$, an hereditarily indecomposable Banach space, which is `$\ell_p$-like' in the sense described above. We give some sufficient conditions on the set of types, $\mathscr{T}(X)$, for a Banach space $X$ to contain almost isometric copies of $\ell_p$ (for some $p \in [1, \infty)$) or of $c_0$. These conditions involve compactness of certain subsets of $\mathscr{T}(X)$ in the strong topology. The proof of these results relies heavily on spreading model techniques. We give two examples of classes of spaces which satisfy these conditions. The first class of examples were introduced by Kalton, and have a structural property known as Property (M). The second class of examples are certain generalized Tsirelson spaces. We introduce the class of stopping time Banach spaces which generalize a space introduced by Rosenthal and first studied by Bang and Odell. We look at subspaces of these spaces which are generated by sequences of independent random variables and we show that they are isomorphic to (generalized) Orlicz spaces. We deduce also that every Orlicz space, $h_\phi$, embeds isomorphically in the stopping time Banach space of Rosenthal. We show also, by using a suitable independence condition, that stopping time Banach spaces also contain subspaces isomorphic to mixtures of Orlicz spaces.
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West, Graeme Philip. "Non-commutative Banach function spaces." Master's thesis, University of Cape Town, 1990. http://hdl.handle.net/11427/17117.

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Books on the topic "Regularisation in Banach spaces":

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Lin, Bor-Luh, and William B. Johnson, eds. Banach Spaces. Providence, Rhode Island: American Mathematical Society, 1993. http://dx.doi.org/10.1090/conm/144.

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Kalton, Nigel J., and Elias Saab, eds. Banach Spaces. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/bfb0074684.

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Becker, Richard. Ordered banach spaces. Paris: Hermann, 2008.

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Fleming, Richard J. Isometries on Banach spaces: Function spaces. Boca Raton: Chapman & Hall/CRC, 2003.

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Guirao, Antonio José, Vicente Montesinos, and Václav Zizler. Renormings in Banach Spaces. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-08655-7.

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Zaslavski, Alexander J. Optimization in Banach Spaces. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-12644-4.

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Kadets, Mikhail I., and Vladimir M. Kadets. Series in Banach Spaces. Basel: Birkhäuser Basel, 1996. http://dx.doi.org/10.1007/978-3-0348-9196-7.

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Lindenstrauss, Joram, and Lior Tzafriri. Classical Banach Spaces I. Berlin, Heidelberg: Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-540-37732-0.

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Avilés, Antonio, Félix Cabello Sánchez, Jesús M. F. Castillo, Manuel González, and Yolanda Moreno. Separably Injective Banach Spaces. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-14741-3.

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Bastero, Jesús, and Miguel San Miguel, eds. Probability and Banach Spaces. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/bfb0099107.

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Book chapters on the topic "Regularisation in Banach spaces":

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Vasudeva, Harkrishan Lal. "Banach Spaces." In Elements of Hilbert Spaces and Operator Theory, 373–416. Singapore: Springer Singapore, 2017. http://dx.doi.org/10.1007/978-981-10-3020-8_5.

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Douglas, Ronald G. "Banach Spaces." In Graduate Texts in Mathematics, 1–29. New York, NY: Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4612-1656-8_1.

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Komornik, Vilmos. "Banach Spaces." In Lectures on Functional Analysis and the Lebesgue Integral, 55–117. London: Springer London, 2016. http://dx.doi.org/10.1007/978-1-4471-6811-9_2.

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Brokate, Martin, and Götz Kersting. "Banach Spaces." In Compact Textbooks in Mathematics, 153–67. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-15365-0_13.

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Kubrusly, Carlos S. "Banach Spaces." In Elements of Operator Theory, 197–309. Boston, MA: Birkhäuser Boston, 2001. http://dx.doi.org/10.1007/978-1-4757-3328-0_4.

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Kelley, John L., and T. P. Srinivasan. "Banach Spaces." In Graduate Texts in Mathematics, 121–39. New York, NY: Springer New York, 1988. http://dx.doi.org/10.1007/978-1-4612-4570-4_11.

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Bhatia, Rajendra. "Banach Spaces." In Texts and Readings in Mathematics, 1–10. Gurgaon: Hindustan Book Agency, 2009. http://dx.doi.org/10.1007/978-93-86279-45-3_1.

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Hromadka, Theodore, and Robert Whitley. "Banach Spaces." In Foundations of the Complex Variable Boundary Element Method, 31–49. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-05954-9_3.

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Mukherjea, A., and K. Pothoven. "Banach Spaces." In Real and Functional Analysis, 1–120. Boston, MA: Springer US, 1986. http://dx.doi.org/10.1007/978-1-4899-4558-7_1.

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Loeb, Peter A. "Banach Spaces." In Real Analysis, 191–219. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-30744-2_11.

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Conference papers on the topic "Regularisation in Banach spaces":

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Xiao, Xuemei, Xincun Wang, and Yucan Zhu. "Duality principles in Banach spaces." In 2010 3rd International Congress on Image and Signal Processing (CISP). IEEE, 2010. http://dx.doi.org/10.1109/cisp.2010.5648102.

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Todorov, Vladimir T., and Michail A. Hamamjiev. "Transitive functions in Banach spaces." In APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE’16): Proceedings of the 42nd International Conference on Applications of Mathematics in Engineering and Economics. Author(s), 2016. http://dx.doi.org/10.1063/1.4968490.

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Kopecká, Eva, and Simeon Reich. "Nonexpansive retracts in Banach spaces." In Fixed Point Theory and its Applications. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc77-0-12.

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Schroder, Matthias, and Florian Steinberg. "Bounded time computation on metric spaces and Banach spaces." In 2017 32nd Annual ACM/IEEE Symposium on Logic in Computer Science (LICS). IEEE, 2017. http://dx.doi.org/10.1109/lics.2017.8005139.

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Baratella, S., and S. A. Ng. "MODEL-THEORETIC PROPERTIES OF BANACH SPACES." In Third Asian Mathematical Conference 2000. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812777461_0004.

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GAO, SU. "EQUIVALENCE RELATIONS AND CLASSICAL BANACH SPACES." In Proceedings of the 9th Asian Logic Conference. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812772749_0007.

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Bamerni, Nareen, and Adem Kılıçman. "k-diskcyclic operators on Banach spaces." In INNOVATIONS THROUGH MATHEMATICAL AND STATISTICAL RESEARCH: Proceedings of the 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016). Author(s), 2016. http://dx.doi.org/10.1063/1.4952536.

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González, Manuel. "Banach spaces with small Calkin algebras." In Perspectives in Operator Theory. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc75-0-10.

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Boruga(Toma), Rovana, and Marioara Lăpădat. "Nonuniform polynomial behaviors in Banach spaces." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2020. AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0081606.

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10

BRÜNING, E. "ON MINIMIZATION IN INFINITE DIMENSIONAL BANACH SPACES." In Proceedings of the 5th International ISAAC Congress. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789812835635_0088.

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Reports on the topic "Regularisation in Banach spaces":

1

Temlyakov, V. N. Greedy Algorithms in Banach Spaces. Fort Belvoir, VA: Defense Technical Information Center, January 2000. http://dx.doi.org/10.21236/ada637095.

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2

Yamamoto, Tetsuro. A Convergence Theorem for Newton's Method in Banach Spaces. Fort Belvoir, VA: Defense Technical Information Center, October 1985. http://dx.doi.org/10.21236/ada163625.

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3

Rosinski, J. On Stochastic Integral Representation of Stable Processes with Sample Paths in Banach Spaces. Fort Belvoir, VA: Defense Technical Information Center, January 1985. http://dx.doi.org/10.21236/ada152927.

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