Some Topological And Geometrical Structures In Banach Spaces
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Some Topological And Geometrical Structures In Banach Spaces
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Author : Nassif Ghoussoub
language : en
Publisher: American Mathematical Soc.
Release Date : 1987
Some Topological And Geometrical Structures In Banach Spaces written by Nassif Ghoussoub and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.
In this memoir, we study the interrelations between the topological, measure theoretical and geometrical structures in certain classes of Banach spaces. The focus is on those spaces whose bounded subsets have arbitrarily norm-small convex combinations of slices. This class contains spaces with the Radon-Nikodym property as well as B-convex Banach spaces. The topological analysis leads to the concept of "first class functions around sets". This extension of the classical notion of Baire-1 functions is developed in a general non-linear setting.
Some Topological And Geometrical Structures In Banach Spaces
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Author : Nassif Ghoussoub
language : en
Publisher:
Release Date : 1987
Some Topological And Geometrical Structures In Banach Spaces written by Nassif Ghoussoub and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Banach spaces categories.
Some Topological And Geometrical Structures In Banach Spaces
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Author : Nassif Ghoussoub
language : en
Publisher:
Release Date : 1987
Some Topological And Geometrical Structures In Banach Spaces written by Nassif Ghoussoub and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.
Geometry Of Banach Spaces
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Author :
language : en
Publisher: Cambridge University Press
Release Date : 1990
Geometry Of Banach Spaces written by and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Banach spaces categories.
Banach Spaces And Descriptive Set Theory Selected Topics
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Author : Pandelis Dodos
language : en
Publisher: Springer
Release Date : 2010-04-15
Banach Spaces And Descriptive Set Theory Selected Topics written by Pandelis Dodos and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-15 with Mathematics categories.
These notes are devoted to the study of some classical problems in the Geometry of Banach spaces. The novelty lies in the fact that their solution relies heavily on techniques coming from Descriptive Set Theory. Thecentralthemeisuniversalityproblems.Inparticular,thetextprovides an exposition of the methods developed recently in order to treat questions of the following type: (Q) LetC be a class of separable Banach spaces such that every space X in the classC has a certain property, say property (P). When can we ?nd a separable Banach space Y which has property (P) and contains an isomorphic copy of every member ofC? We will consider quite classical properties of Banach spaces, such as “- ing re?exive,” “having separable dual,” “not containing an isomorphic copy of c ,” “being non-universal,” etc. 0 It turns out that a positive answer to problem (Q), for any of the above mentioned properties, is possible if (and essentially only if) the classC is “simple.” The “simplicity” ofC is measured in set theoretic terms. Precisely, if the classC is analytic in a natural “coding” of separable Banach spaces, then we can indeed ?nd a separable space Y which is universal for the class C and satis?es the requirements imposed above.
Methods In Banach Space Theory
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Author : Jesus M. F. Castillo
language : en
Publisher: Cambridge University Press
Release Date : 2006-11-30
Methods In Banach Space Theory written by Jesus M. F. Castillo and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-30 with Mathematics categories.
A comprehensive overview of modern Banach space theory.
Seminar On Functional Analysis 1987
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Author : José Orihuela
language : en
Publisher: EDITUM
Release Date : 1988
Seminar On Functional Analysis 1987 written by José Orihuela and has been published by EDITUM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Analisi funcional categories.
Operator And Matrix Theory Function Spaces And Applications
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Author : Marek Ptak
language : en
Publisher: Springer Nature
Release Date : 2024-04-02
Operator And Matrix Theory Function Spaces And Applications written by Marek Ptak and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-02 with Mathematics categories.
This volume features presentations from the International Workshop on Operator Theory and its Applications that was held in Kraków, Poland, September 6-10, 2022. The volume reflects the wide interests of the participants and contains original research papers in the active areas of Operator Theory. These interests include weighted Hardy spaces, geometry of Banach spaces, dilations of the tetrablock contractions, Toeplitz and Hankel operators, symplectic Dirac operator, pseudodifferential and differential operators, singular integral operators, non-commutative probability, quasi multipliers, Hilbert transform, small rank perturbations, spectral constants, Banach-Lie groupoids, reproducing kernels, and the Kippenhahn curve. The volume includes contributions by a number of the world's leading experts and can therefore be used as an introduction to the currently active research areas in operator theory.
Introduction To Banach Spaces Analysis And Probability
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Author : Daniel Li
language : en
Publisher: Cambridge University Press
Release Date : 2018
Introduction To Banach Spaces Analysis And Probability written by Daniel Li and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Mathematics categories.
This second volume of a two-volume overview focuses on the applications of Banach spaces and recent developments in the field.
Problems And Recent Methods In Operator Theory
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Author : Fernanda Botelho
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-04-18
Problems And Recent Methods In Operator Theory written by Fernanda Botelho and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-18 with Mathematics categories.
This volume contains the proceedings of the Workshop on Problems and Recent Methods in Operator Theory, held at the University of Memphis, Memphis, TN, from October 15–16, 2015 and the AMS Special Session on Advances in Operator Theory and Applications, in Memory of James Jamison, held at the University of Memphis, Memphis, TN, from October 17–18, 2015. Operator theory is at the root of several branches of mathematics and offers a broad range of challenging and interesting research problems. It also provides powerful tools for the development of other areas of science including quantum theory, physics and mechanics. Isometries have applications in solid-state physics. Hermitian operators play an integral role in quantum mechanics very much due to their “nice” spectral properties. These powerful connections demonstrate the impact of operator theory in various branches of science. The articles in this volume address recent problems and research advances in operator theory. Highlighted topics include spectral, structural and geometric properties of special types of operators on Banach spaces, with emphasis on isometries, weighted composition operators, multi-circular projections on function spaces, as well as vector valued function spaces and spaces of analytic functions. This volume gives a succinct overview of state-of-the-art techniques from operator theory as well as applications to classical problems and long-standing open questions.