Academic literature on the topic 'Régularisation en espaces de Banach'
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Journal articles on the topic "Régularisation en espaces de Banach":
Carrière, Jean-Paul. "Le « Programme de Régularisation des Zones Spéciales d’Intérêt Social »." Revue d’Économie Régionale & Urbaine Pub. anticipées (February 22, 2025): 5k—21. http://dx.doi.org/10.3917/reru.pr1.0005k.
Rauch, Patric. "Pseudocomplémentation dans les espaces de Banach." Studia Mathematica 100, no. 3 (1991): 251–82. http://dx.doi.org/10.4064/sm-100-3-251-282.
Kadets, Vladimir M., Roman V. Shvidkoy, Gleb G. Sirotkin, and Dirk Werner. "Espaces de Banach ayant la propriété de Daugavet." Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 325, no. 12 (December 1997): 1291–94. http://dx.doi.org/10.1016/s0764-4442(97)82356-7.
Bouamama, Widad. "Opérateurs pseudo-Fredholm dans les espaces de banach." Rendiconti del Circolo Matematico di Palermo 53, no. 3 (October 2004): 313–24. http://dx.doi.org/10.1007/bf02875724.
Berkani, M., and A. Ouahab. "Operateurs essentiellement reguliers dans les espaces de Banach." Rendiconti del Circolo Matematico di Palermo 46, no. 1 (February 1997): 131–60. http://dx.doi.org/10.1007/bf02844478.
Kellay, K. "Existence de sous-espaces hyper-invariants." Glasgow Mathematical Journal 40, no. 1 (March 1998): 133–41. http://dx.doi.org/10.1017/s0017089500032420.
Amrouche, Chérif, and Robert Ratsimahalo. "Conditions “inf sup” dans les espaces de Banach non réflexifs." Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 330, no. 12 (June 2000): 1069–72. http://dx.doi.org/10.1016/s0764-4442(00)00308-6.
Pajor, Alain. "Quotient Volumique et Espaces de Banach de Type 2 Faible." Israel Journal of Mathematics 57, no. 1 (February 1987): 101–6. http://dx.doi.org/10.1007/bf02769463.
Oja, Eve. "Géométrie des espaces de Banach ayant des approximations de l'identité contractantes." Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 328, no. 12 (June 1999): 1167–70. http://dx.doi.org/10.1016/s0764-4442(99)80433-9.
Barraa, Mohamed, and Bernard Charles. "Sous-espaces invariants d'un opérateur nilpotent sur un espace de banach." Linear Algebra and its Applications 153 (July 1991): 177–82. http://dx.doi.org/10.1016/0024-3795(91)90217-k.
Dissertations / Theses on the topic "Régularisation en espaces de Banach":
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.
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
Plût, Jérôme. "Espaces de Banach analytiques p-adiques et espaces de Banach-Colmez." Phd thesis, Université Paris Sud - Paris XI, 2009. http://tel.archives-ouvertes.fr/tel-00448628.
Baudier, Florent. "Plongements des espaces métriques dans les espaces de Banach." Phd thesis, Université de Franche-Comté, 2009. http://tel.archives-ouvertes.fr/tel-00477415.
Chaatit, Fouad. "Sur les espaces de Banach stables." Paris 7, 1985. http://www.theses.fr/1985PA07F038.
Darapaneni, Narayana. "Proximinalité dans les espaces de Banach." Paris 6, 2005. http://www.theses.fr/2005PA066583.
Procházka, Antonín. "Analyse dans les espaces de Banach." Thesis, Bordeaux 1, 2009. http://www.theses.fr/2009BOR13801/document.
The thesis deals with four topics in the theory of Banach spaces. The first of them is a characterization of the Radon-Nikodym property using the notion of point-slice games. The second is a computation of the w* dentability index of the spaces C(K), where K is a compact of countable height. The third is a renorming result in nonseparable spaces, producing norms which are differentiable, LUR and approximated by norms of higher smoothness. The fourth topic is a Baire cathegory approach to parametric smooth variational principles. The thesis features an introduction which surveys the background of these results
Procházka, Antonín Deville Robert Hájek Petr. "Analyse dans les espaces de Banach." S. l. : S. l. : Bordeaux 1 ; Univerzita Karlova (Prague), 2009. http://ori-oai.u-bordeaux1.fr/pdf/2009/PROCHAZKA_ANTONIN_2009.pdf.
Sersouri, Abderrazzak. "Géométrie des espaces de Banach : espaces d'opérateurs, produits tensoriels, construction de normes." Paris 6, 1986. http://www.theses.fr/1986PA066431.
LANCIEN, FLORENCE. "Geometrie des espaces de banach dans certains espaces de hardy abstraits." Paris 6, 1993. http://www.theses.fr/1993PA066141.
Borel-Mathurin, Laetitia. "Isomorphismes non linéaires entre espaces de Banach." Paris 6, 2010. http://www.theses.fr/2010PA066373.
Books on the topic "Régularisation en espaces de Banach":
Pajor, Alain. Sous-espaces LN/L des espaces de Banach. Paris: Hermann, 1985.
Wojtaszczyk, Przemysław. Banach spaces for analysts. Cambridge [England]: Cambridge Univerisity Press, 1991.
Li, Daniel. Introduction à l'étude des espaces de Banach: Analyse et probabilités. Paris: Société mathématique de France, 2004.
Lamberton, Damien. Spectres d'opérateurs et géométrie des espaces de Banach. Warszawa: Państwowe wydawn. Nauk., 1985.
Hoffman, Kenneth. Banach spaces of analytic functions. New York: Dover Publications, 1988.
1946-, Kalton Nigel J., and Saab E. 1946-, eds. Banach spaces: Proceedings of the Missouri conference held in Columbia, USA, June 24-29, 1984. Berlin: Springer-Verlag, 1985.
Fleming, Richard J. Isometries on Banach spaces: Vector-valued function spaces : volume 2. Boca Raton, FL: CRC Press, 2008.
Casazza, Peter G. Tsirelson's space. Berlin: Springer-Verlag, 1989.
Dodos, P. Banach spaces and descriptive set theory: Selected topics. Heidelberg: Springer, 2010.
Mujica, Jorge. Complex analysis in Banach spaces. Mineola, N.Y: Dover Publications, 2010.
Book chapters on the topic "Régularisation en espaces de Banach":
Fernique, X. "Une caractérisation des espaces de Fréchet nucléaires Processes." In Probability in Banach Spaces, 9, 173–81. Boston, MA: Birkhäuser Boston, 1994. http://dx.doi.org/10.1007/978-1-4612-0253-0_10.
Pratelli, Maurizio. "Integration stochastique et geometrie des espaces de Banach." In Lecture Notes in Mathematics, 129–37. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0084127.
Massera, Jose'. "Les Equations Differentielles Lineaires dans les Espaces de Banach." In Sistemi dinamici e teoremi ergodici, 113–32. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-10945-4_3.
Serre, Jean-Pierre. "Endomorphismes complètement continus des espaces de Banach p-adiques." In Springer Collected Works in Mathematics, 170–86. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-37726-6_55.
Fellah, D., and E. Pardoux. "Une formule d’Itô dans des espaces de Banach, et application." In Stochastic Analysis and Related Topics, 197–209. Boston, MA: Birkhäuser Boston, 1992. http://dx.doi.org/10.1007/978-1-4612-0373-5_4.
Volkmann, Peter. "Cinq cours sur les équations différentielles dans les espaces de Banach." In Topological Methods in Differential Equations and Inclusions, 501–20. Dordrecht: Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-011-0339-8_11.