Auswahl der wissenschaftlichen Literatur zum Thema „Regularisation in Banach spaces“
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Zeitschriftenartikel zum Thema "Regularisation in Banach spaces"
Simons, S. „Regularisations of convex functions and slicewise suprema“. Bulletin of the Australian Mathematical Society 50, Nr. 3 (Dezember 1994): 481–99. http://dx.doi.org/10.1017/s0004972700013599.
Der volle Inhalt der QuelleWerner, Dirk. „Indecomposable Banach spaces“. Acta et Commentationes Universitatis Tartuensis de Mathematica 5 (31.12.2001): 89–105. http://dx.doi.org/10.12697/acutm.2001.05.08.
Der volle Inhalt der QuelleKusraev, A. G. „Banach-Kantorovich spaces“. Siberian Mathematical Journal 26, Nr. 2 (1985): 254–59. http://dx.doi.org/10.1007/bf00968770.
Der volle Inhalt der QuelleOikhberg, T., und E. Spinu. „Subprojective Banach spaces“. Journal of Mathematical Analysis and Applications 424, Nr. 1 (April 2015): 613–35. http://dx.doi.org/10.1016/j.jmaa.2014.11.008.
Der volle Inhalt der QuelleGonzález, Manuel, und Javier Pello. „Superprojective Banach spaces“. Journal of Mathematical Analysis and Applications 437, Nr. 2 (Mai 2016): 1140–51. http://dx.doi.org/10.1016/j.jmaa.2016.01.033.
Der volle Inhalt der QuelleQiu, Jing Hui, und Kelly McKennon. „Banach-Mackey spaces“. International Journal of Mathematics and Mathematical Sciences 14, Nr. 2 (1991): 215–19. http://dx.doi.org/10.1155/s0161171291000224.
Der volle Inhalt der QuelleDineen, Seán, und Michael Mackey. „Confined Banach spaces“. Archiv der Mathematik 87, Nr. 3 (September 2006): 227–32. http://dx.doi.org/10.1007/s00013-006-1693-y.
Der volle Inhalt der QuelleFerenczi, Valentin, und Christian Rosendal. „Ergodic Banach spaces“. Advances in Mathematics 195, Nr. 1 (August 2005): 259–82. http://dx.doi.org/10.1016/j.aim.2004.08.008.
Der volle Inhalt der QuelleBastero, Jesús. „Embedding unconditional stable banach spaces into symmetric stable banach spaces“. Israel Journal of Mathematics 53, Nr. 3 (Dezember 1986): 373–80. http://dx.doi.org/10.1007/bf02786569.
Der volle Inhalt der QuelleSHEKHAR, CHANDER, TARA . und GHANSHYAM SINGH RATHORE. „RETRO K-BANACH FRAMES IN BANACH SPACES“. Poincare Journal of Analysis and Applications 05, Nr. 2.1 (30.12.2018): 65–75. http://dx.doi.org/10.46753/pjaa.2018.v05i02(i).003.
Der volle Inhalt der QuelleDissertationen zum Thema "Regularisation in Banach spaces"
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.
Der volle Inhalt der QuelleThis 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
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.
Der volle Inhalt der QuelleIves, 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.
Der volle Inhalt der QuelleGonzález, Correa Alma Lucía. „Compacta in Banach spaces“. Doctoral thesis, Universitat Politècnica de València, 2010. http://hdl.handle.net/10251/8312.
Der volle Inhalt der QuelleGonzález Correa, AL. (2008). Compacta in Banach spaces [Tesis doctoral no publicada]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/8312
Palancia
Lammers, Mark C. „Genus n Banach spaces /“. free to MU campus, to others for purchase, 1997. http://wwwlib.umi.com/cr/mo/fullcit?p9841162.
Der volle Inhalt der QuelleRandrianarivony, Nirina Lovasoa. „Nonlinear classification of Banach spaces“. Diss., Texas A&M University, 2005. http://hdl.handle.net/1969.1/2590.
Der volle Inhalt der QuelleGowers, William T. „Symmetric structures in Banach spaces“. Thesis, University of Cambridge, 1990. https://www.repository.cam.ac.uk/handle/1810/252814.
Der volle Inhalt der QuellePatterson, Wanda Ethel Diane McNair. „Problems in classical banach spaces“. Diss., Georgia Institute of Technology, 1988. http://hdl.handle.net/1853/30288.
Der volle Inhalt der QuelleDew, N. „Asymptotic structure of Banach spaces“. Thesis, University of Oxford, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.270612.
Der volle Inhalt der QuelleWest, Graeme Philip. „Non-commutative Banach function spaces“. Master's thesis, University of Cape Town, 1990. http://hdl.handle.net/11427/17117.
Der volle Inhalt der QuelleBücher zum Thema "Regularisation in Banach spaces"
Lin, Bor-Luh, und William B. Johnson, Hrsg. Banach Spaces. Providence, Rhode Island: American Mathematical Society, 1993. http://dx.doi.org/10.1090/conm/144.
Der volle Inhalt der QuelleKalton, Nigel J., und Elias Saab, Hrsg. Banach Spaces. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/bfb0074684.
Der volle Inhalt der QuelleOrdered banach spaces. Paris: Hermann, 2008.
Den vollen Inhalt der Quelle findenE, Jamison James, Hrsg. Isometries on Banach spaces: Function spaces. Boca Raton: Chapman & Hall/CRC, 2003.
Den vollen Inhalt der Quelle findenGuirao, Antonio José, Vicente Montesinos und Václav Zizler. Renormings in Banach Spaces. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-08655-7.
Der volle Inhalt der QuelleZaslavski, Alexander J. Optimization in Banach Spaces. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-12644-4.
Der volle Inhalt der QuelleKadets, Mikhail I., und Vladimir M. Kadets. Series in Banach Spaces. Basel: Birkhäuser Basel, 1996. http://dx.doi.org/10.1007/978-3-0348-9196-7.
Der volle Inhalt der QuelleLindenstrauss, Joram, und Lior Tzafriri. Classical Banach Spaces I. Berlin, Heidelberg: Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-540-37732-0.
Der volle Inhalt der QuelleAvilés, Antonio, Félix Cabello Sánchez, Jesús M. F. Castillo, Manuel González und Yolanda Moreno. Separably Injective Banach Spaces. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-14741-3.
Der volle Inhalt der QuelleBastero, Jesús, und Miguel San Miguel, Hrsg. Probability and Banach Spaces. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/bfb0099107.
Der volle Inhalt der QuelleBuchteile zum Thema "Regularisation in Banach spaces"
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.
Der volle Inhalt der QuelleDouglas, 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.
Der volle Inhalt der QuelleKomornik, 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.
Der volle Inhalt der QuelleBrokate, Martin, und 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.
Der volle Inhalt der QuelleKubrusly, 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.
Der volle Inhalt der QuelleKelley, John L., und 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.
Der volle Inhalt der QuelleBhatia, 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.
Der volle Inhalt der QuelleHromadka, Theodore, und 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.
Der volle Inhalt der QuelleMukherjea, A., und 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.
Der volle Inhalt der QuelleLoeb, 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.
Der volle Inhalt der QuelleKonferenzberichte zum Thema "Regularisation in Banach spaces"
Xiao, Xuemei, Xincun Wang und 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.
Der volle Inhalt der QuelleTodorov, Vladimir T., und 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.
Der volle Inhalt der QuelleKopecká, Eva, und 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.
Der volle Inhalt der QuelleSchroder, Matthias, und 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.
Der volle Inhalt der QuelleBaratella, S., und 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.
Der volle Inhalt der QuelleGAO, 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.
Der volle Inhalt der QuelleBamerni, Nareen, und 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.
Der volle Inhalt der QuelleGonzález, 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.
Der volle Inhalt der QuelleBoruga(Toma), Rovana, und 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.
Der volle Inhalt der QuelleBRÜNING, 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.
Der volle Inhalt der QuelleBerichte der Organisationen zum Thema "Regularisation in Banach spaces"
Temlyakov, V. N. Greedy Algorithms in Banach Spaces. Fort Belvoir, VA: Defense Technical Information Center, Januar 2000. http://dx.doi.org/10.21236/ada637095.
Der volle Inhalt der QuelleYamamoto, Tetsuro. A Convergence Theorem for Newton's Method in Banach Spaces. Fort Belvoir, VA: Defense Technical Information Center, Oktober 1985. http://dx.doi.org/10.21236/ada163625.
Der volle Inhalt der QuelleRosinski, J. On Stochastic Integral Representation of Stable Processes with Sample Paths in Banach Spaces. Fort Belvoir, VA: Defense Technical Information Center, Januar 1985. http://dx.doi.org/10.21236/ada152927.
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