Orthonormal Systems And Banach Space Geometry
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Orthonormal Systems And Banach Space Geometry
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Author : Albrecht Pietsch
language : en
Publisher: Cambridge University Press
Release Date : 1998-09-10
Orthonormal Systems And Banach Space Geometry written by Albrecht Pietsch 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 1998-09-10 with Mathematics categories.
This book describes the interplay between orthonormal expansions and Banach space geometry.
Orthonormal Systems And Banach Space Geometry
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Author : Albrecht Pietsch
language : en
Publisher:
Release Date : 2014-05-18
Orthonormal Systems And Banach Space Geometry written by Albrecht Pietsch and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-18 with Banach spaces categories.
This book describes the interplay between orthonormal expansions and Banach space geometry.
Handbook Of The Geometry Of Banach Spaces
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Author :
language : en
Publisher: Elsevier
Release Date : 2001-08-15
Handbook Of The Geometry Of Banach Spaces 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 2001-08-15 with Mathematics categories.
The Handbook presents an overview of most aspects of modernBanach space theory and its applications. The up-to-date surveys, authored by leading research workers in the area, are written to be accessible to a wide audience. In addition to presenting the state of the art of Banach space theory, the surveys discuss the relation of the subject with such areas as harmonic analysis, complex analysis, classical convexity, probability theory, operator theory, combinatorics, logic, geometric measure theory, and partial differential equations. The Handbook begins with a chapter on basic concepts in Banachspace theory which contains all the background needed for reading any other chapter in the Handbook. Each of the twenty one articles in this volume after the basic concepts chapter is devoted to one specific direction of Banach space theory or its applications. Each article contains a motivated introduction as well as an exposition of the main results, methods, and open problems in its specific direction. Most have an extensive bibliography. Many articles contain new proofs of known results as well as expositions of proofs which are hard to locate in the literature or are only outlined in the original research papers. As well as being valuable to experienced researchers in Banach space theory, the Handbook should be an outstanding source for inspiration and information to graduate students and beginning researchers. The Handbook will be useful for mathematicians who want to get an idea of the various developments in Banach space theory.
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.
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.
The Volume Of Convex Bodies And Banach Space Geometry
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Author : Gilles Pisier
language : en
Publisher: Cambridge University Press
Release Date : 1999-05-27
The Volume Of Convex Bodies And Banach Space Geometry 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 1999-05-27 with Mathematics categories.
A self-contained presentation of results relating the volume of convex bodies and Banach space geometry.
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
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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.
Geometric Properties Of Banach Spaces And Nonlinear Iterations
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Author : Charles Chidume
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-03-27
Geometric Properties Of Banach Spaces And Nonlinear Iterations written by Charles Chidume 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 2009-03-27 with Mathematics categories.
The contents of this monograph fall within the general area of nonlinear functional analysis and applications. We focus on an important topic within this area: geometric properties of Banach spaces and nonlinear iterations, a topic of intensive research e?orts, especially within the past 30 years, or so. In this theory, some geometric properties of Banach spaces play a crucial role. In the ?rst part of the monograph, we expose these geometric properties most of which are well known. As is well known, among all in?nite dim- sional Banach spaces, Hilbert spaces have the nicest geometric properties. The availability of the inner product, the fact that the proximity map or nearest point map of a real Hilbert space H onto a closed convex subset K of H is Lipschitzian with constant 1, and the following two identities 2 2 2 ||x+y|| =||x|| +2 x,y +||y|| , (?) 2 2 2 2 ||?x+(1??)y|| = ?||x|| +(1??)||y|| ??(1??)||x?y|| , (??) which hold for all x,y? H, are some of the geometric properties that char- terize inner product spaces and also make certain problems posed in Hilbert spaces more manageable than those in general Banach spaces. However, as has been rightly observed by M. Hazewinkel, “... many, and probably most, mathematical objects and models do not naturally live in Hilbert spaces”. Consequently,toextendsomeoftheHilbertspacetechniquestomoregeneral Banach spaces, analogues of the identities (?) and (??) have to be developed.
Bounded Symmetric Domains In Banach Spaces
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Author : Cho-ho Chu
language : en
Publisher: World Scientific
Release Date : 2020-09-10
Bounded Symmetric Domains In Banach Spaces written by Cho-ho Chu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-10 with Mathematics categories.
This timely book exposes succinctly recent advances in the geometric and analytic theory of bounded symmetric domains. A unique feature is the unified treatment of both finite and infinite dimensional symmetric domains, using Jordan theory in tandem with Lie theory. The highlights include a generalized Riemann mapping theorem, which realizes a bounded symmetric domain as the open unit ball of a complex Banach space with a Jordan structure. Far-reaching applications of this realization in complex geometry and function theory are discussed.This monograph is intended as a convenient reference for researchers and graduate students in geometric analysis, infinite dimensional holomorphy as well as functional analysis and operator theory.