Geometry and Martingales in Banach Spaces

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Publisher : CRC Press
ISBN 13 : 0429868820
Total Pages : 299 pages
Book Rating : 4.4/5 (298 download)

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Book Synopsis Geometry and Martingales in Banach Spaces by : Wojbor A. Woyczynski

Download or read book Geometry and Martingales in Banach Spaces written by Wojbor A. Woyczynski and published by CRC Press. This book was released on 2018-10-12 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 :
Publisher : Cambridge University Press
ISBN 13 : 1107137241
Total Pages : 591 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Martingales in Banach Spaces by : Gilles Pisier

Download or read book Martingales in Banach Spaces written by Gilles Pisier and published by Cambridge University Press. This book was released on 2016-06-06 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on applications of martingales to the geometry of Banach spaces, and is accessible to graduate students.

Handbook of the Geometry of Banach Spaces

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Author :
Publisher : Elsevier
ISBN 13 : 0080532802
Total Pages : 1017 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Handbook of the Geometry of Banach Spaces by :

Download or read book Handbook of the Geometry of Banach Spaces written by and published by Elsevier. This book was released on 2001-08-15 with total page 1017 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 and Probability in Banach Spaces

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Author :
Publisher : Springer
ISBN 13 : 3540386173
Total Pages : 110 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Geometry and Probability in Banach Spaces by : L. Schwartz

Download or read book Geometry and Probability in Banach Spaces written by L. Schwartz and published by Springer. This book was released on 2006-11-14 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometry of Banach Spaces - Selected Topics

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Author :
Publisher : Springer
ISBN 13 : 3540379134
Total Pages : 298 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Geometry of Banach Spaces - Selected Topics by : J. Diestel

Download or read book Geometry of Banach Spaces - Selected Topics written by J. Diestel and published by Springer. This book was released on 2006-11-14 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Banach Spaces and their Geometry

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Publisher : Elsevier
ISBN 13 : 0080871798
Total Pages : 321 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Introduction to Banach Spaces and their Geometry by :

Download or read book Introduction to Banach Spaces and their Geometry written by and published by Elsevier. This book was released on 2011-10-10 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Banach Spaces and their Geometry

Haar Functions, Martingales and Geometry of Banach Spaces

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Author :
Publisher :
ISBN 13 :
Total Pages : 93 pages
Book Rating : 4.:/5 (249 download)

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Book Synopsis Haar Functions, Martingales and Geometry of Banach Spaces by : Jörg Wenzel

Download or read book Haar Functions, Martingales and Geometry of Banach Spaces written by Jörg Wenzel and published by . This book was released on 2004 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Orthonormal Systems and Banach Space Geometry

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Publisher : Cambridge University Press
ISBN 13 : 0521624622
Total Pages : 565 pages
Book Rating : 4.5/5 (216 download)

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Book Synopsis Orthonormal Systems and Banach Space Geometry by : Albrecht Pietsch

Download or read book Orthonormal Systems and Banach Space Geometry written by Albrecht Pietsch and published by Cambridge University Press. This book was released on 1998-09-10 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the interplay between orthonormal expansions and Banach space geometry.

Geometric Properties of Banach Spaces and Nonlinear Iterations

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Publisher : Springer Science & Business Media
ISBN 13 : 1848821891
Total Pages : 337 pages
Book Rating : 4.8/5 (488 download)

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Book Synopsis Geometric Properties of Banach Spaces and Nonlinear Iterations by : Charles Chidume

Download or read book Geometric Properties of Banach Spaces and Nonlinear Iterations written by Charles Chidume and published by Springer Science & Business Media. This book was released on 2009-03-27 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Analysis in Banach Spaces

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Publisher : Springer
ISBN 13 : 3319485202
Total Pages : 628 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Analysis in Banach Spaces by : Tuomas Hytönen

Download or read book Analysis in Banach Spaces written by Tuomas Hytönen and published by Springer. This book was released on 2016-11-26 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume develops the theory of integration in Banach spaces, martingales and UMD spaces, and culminates in a treatment of the Hilbert transform, Littlewood-Paley theory and the vector-valued Mihlin multiplier theorem. Over the past fifteen years, motivated by regularity problems in evolution equations, there has been tremendous progress in the analysis of Banach space-valued functions and processes. The contents of this extensive and powerful toolbox have been mostly scattered around in research papers and lecture notes. Collecting this diverse body of material into a unified and accessible presentation fills a gap in the existing literature. The principal audience that we have in mind consists of researchers who need and use Analysis in Banach Spaces as a tool for studying problems in partial differential equations, harmonic analysis, and stochastic analysis. Self-contained and offering complete proofs, this work is accessible to graduate students and researchers with a background in functional analysis or related areas.

Open Problems in the Geometry and Analysis of Banach Spaces

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Publisher : Springer
ISBN 13 : 3319335723
Total Pages : 179 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Open Problems in the Geometry and Analysis of Banach Spaces by : Antonio J. Guirao

Download or read book Open Problems in the Geometry and Analysis of Banach Spaces written by Antonio J. Guirao and published by Springer. This book was released on 2016-07-26 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Study of Geometry and Martingales in Locally Convex Spaces and of Topology and Amarts in Banach Spaces

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (91 download)

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Book Synopsis Study of Geometry and Martingales in Locally Convex Spaces and of Topology and Amarts in Banach Spaces by : Leo Egghe

Download or read book Study of Geometry and Martingales in Locally Convex Spaces and of Topology and Amarts in Banach Spaces written by Leo Egghe and published by . This book was released on 1978 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometrical and Statistical Aspects of Probability in Banach Spaces

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Author :
Publisher : Springer
ISBN 13 : 3540398260
Total Pages : 133 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Geometrical and Statistical Aspects of Probability in Banach Spaces by : Xavier Fernique

Download or read book Geometrical and Statistical Aspects of Probability in Banach Spaces written by Xavier Fernique and published by Springer. This book was released on 2006-11-14 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Functional Analysis and Infinite-Dimensional Geometry

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1475734808
Total Pages : 455 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Functional Analysis and Infinite-Dimensional Geometry by : Marian Fabian

Download or read book Functional Analysis and Infinite-Dimensional Geometry written by Marian Fabian and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the basic principles of functional analysis and areas of Banach space theory that are close to nonlinear analysis and topology. The text can be used in graduate courses or for independent study. It includes a large number of exercises of different levels of difficulty, accompanied by hints.

Geometry of Banach Spaces, Duality Mappings and Nonlinear Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 9400921217
Total Pages : 274 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Geometry of Banach Spaces, Duality Mappings and Nonlinear Problems by : I. Cioranescu

Download or read book Geometry of Banach Spaces, Duality Mappings and Nonlinear Problems written by I. Cioranescu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: One service mathematics has rendered the 'Et moi ... - si Javait so comment en revenir. je n'y serais point alle.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. Eric T. Bell able to do something with it. o. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. AIl arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Factorization of Linear Operators and Geometry of Banach Spaces

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Publisher : American Mathematical Soc.
ISBN 13 : 0821807102
Total Pages : 166 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Factorization of Linear Operators and Geometry of Banach Spaces by : Gilles Pisier

Download or read book Factorization of Linear Operators and Geometry of Banach Spaces written by Gilles Pisier and published by American Mathematical Soc.. This book was released on 1986 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Expository lectures from the CBMS regional conference held at the University of Missouri-Columbia, June 25-29, 1984"--T.p. verso.

Elements of Geometry of Balls in Banach Spaces

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Publisher : Oxford University Press
ISBN 13 : 0192562320
Total Pages : 256 pages
Book Rating : 4.1/5 (925 download)

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Book Synopsis Elements of Geometry of Balls in Banach Spaces by : Kazimierz Goebel

Download or read book Elements of Geometry of Balls in Banach Spaces written by Kazimierz Goebel and published by Oxford University Press. This book was released on 2018-09-06 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the subjects of functional analysis is classification of Banach spaces depending on various properties of the unit ball. The need of such considerations comes from a number of applications to problems of mathematical analysis. The list of subjects includes: differential calculus in normed spaces, approximation theory, weak topologies and reflexivity, general theory of convexity and convex functions, metric fixed point theory and others. The book presents basic facts from this field.