Study Of Geometry And Martingales In Locally Convex Spaces And Of Topology And Amarts In Banach Spaces
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Study Of Geometry And Martingales In Locally Convex Spaces And Of Topology And Amarts In Banach Spaces
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Author : Leo Egghe
language : en
Publisher:
Release Date : 1978
Study Of Geometry And Martingales In Locally Convex Spaces And Of Topology And Amarts In Banach Spaces written by Leo Egghe and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with categories.
Study Of Geometry And Martingales In Locally Convex Spaces And Of Topology And Amarts In Banach Spaces
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Author : Leo Egghe
language : en
Publisher:
Release Date : 1978
Study Of Geometry And Martingales In Locally Convex Spaces And Of Topology And Amarts In Banach Spaces written by Leo Egghe and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with categories.
Geometry And Martingales In Banach Spaces
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Author : Wojbor A. Woyczynski
language : en
Publisher: CRC Press
Release Date : 2018-10-12
Geometry And Martingales In Banach Spaces written by Wojbor A. Woyczynski and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-12 with Mathematics categories.
Geometry and Martingales in Banach Spaces provides a compact exposition of the results explaining the interrelations existing between the metric geometry of Banach spaces and the theory of martingales, and general random vectors with values in those Banach spaces. Geometric concepts such as dentability, uniform smoothness, uniform convexity, Beck convexity, etc. turn out to characterize asymptotic behavior of martingales with values in Banach spaces.
Martingales In Banach Spaces
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Author : Gilles Pisier
language : en
Publisher: Cambridge University Press
Release Date : 2016-06-06
Martingales In Banach Spaces written by Gilles Pisier 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 2016-06-06 with Mathematics categories.
This book focuses on applications of martingales to the geometry of Banach spaces, and is accessible to graduate students.
Barrelled Locally Convex Spaces
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Author : P. Pérez Carreras
language : en
Publisher: Elsevier
Release Date : 1987-03-01
Barrelled Locally Convex Spaces written by P. Pérez Carreras and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-03-01 with Mathematics categories.
This book is a systematic treatment of barrelled spaces, and of structures in which barrelledness conditions are significant. It is a fairly self-contained study of the structural theory of those spaces, concentrating on the basic phenomena in the theory, and presenting a variety of functional-analytic techniques.Beginning with some basic and important results in different branches of Analysis, the volume deals with Baire spaces, presents a variety of techniques, and gives the necessary definitions, exploring conditions on discs to ensure that they are absorbed by the barrels of the space. The abstract theory of barrelled spaces is then presented, as well as local completeness and its applications to the inheritance of the Mackey topology to subspaces. Further discussed is the abstract study of bornological and ultrabornological spaces; B- and Br-completeness; inductive limits; strong barrelledness conditions; characterizations of barrelled, bornological and (DF)-spaces in the context of spaces of type C(X); the stability of barrelledness conditions of topological tensor products and the related questions of commutability of inductive limits and tensor products; and the holomorphically significant properties of locally convex spaces as developed by Nachbin and others.
Open Problems In The Geometry And Analysis Of Banach Spaces
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Author : Antonio J. Guirao
language : en
Publisher: Springer
Release Date : 2016-07-26
Open Problems In The Geometry And Analysis Of Banach Spaces written by Antonio J. Guirao and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-26 with Mathematics categories.
This is an collection of some easily-formulated problems that remain open in the study of the geometry and analysis of Banach spaces. Assuming the reader has a working familiarity with the basic results of Banach space theory, the authors focus on concepts of basic linear geometry, convexity, approximation, optimization, differentiability, renormings, weak compact generating, Schauder bases and biorthogonal systems, fixed points, topology and nonlinear geometry. The main purpose of this work is to help in convincing young researchers in Functional Analysis that the theory of Banach spaces is a fertile field of research, full of interesting open problems. Inside the Banach space area, the text should help expose young researchers to the depth and breadth of the work that remains, and to provide the perspective necessary to choose a direction for further study. Some of the problems are longstanding open problems, some are recent, some are more important and some are only local problems. Some would require new ideas, some may be resolved with only a subtle combination of known facts. Regardless of their origin or longevity, each of these problems documents the need for further research in this area.
Locally Convex Spaces
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Author : M. Scott Osborne
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-08
Locally Convex Spaces written by M. Scott Osborne and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-08 with Mathematics categories.
For most practicing analysts who use functional analysis, the restriction to Banach spaces seen in most real analysis graduate texts is not enough for their research. This graduate text, while focusing on locally convex topological vector spaces, is intended to cover most of the general theory needed for application to other areas of analysis. Normed vector spaces, Banach spaces, and Hilbert spaces are all examples of classes of locally convex spaces, which is why this is an important topic in functional analysis. While this graduate text focuses on what is needed for applications, it also shows the beauty of the subject and motivates the reader with exercises of varying difficulty. Key topics covered include point set topology, topological vector spaces, the Hahn–Banach theorem, seminorms and Fréchet spaces, uniform boundedness, and dual spaces. The prerequisite for this text is the Banach space theory typically taught in a beginning graduate real analysis course.
Introduction To Banach Spaces And Their Geometry
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Author :
language : en
Publisher: Elsevier
Release Date : 2011-10-10
Introduction To Banach Spaces And Their Geometry written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-10 with Mathematics categories.
Introduction to Banach Spaces and their Geometry
Geometry Of Banach Spaces Selected Topics
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Author : J. Diestel
language : en
Publisher: Springer
Release Date : 2006-11-14
Geometry Of Banach Spaces Selected Topics written by J. Diestel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
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 Banach spaces 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.