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Author : Dick Dulst
Publisher :
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.3/5 (243 download)
Download or read book The Geometry of Banach Spaces with the Radon-Nikodým Property written by Dick Dulst and published by . This book was released on 1985 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. Diestel
Publisher : Springer
ISBN 13 : 3540379134
Total Pages : 298 pages
Book Rating : 4.5/5 (43 download)
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:
Author : Nassif Ghoussoub
Publisher : American Mathematical Soc.
ISBN 13 : 0821824414
Total Pages : 123 pages
Book Rating : 4.8/5 (218 download)
Download or read book Some Topological and Geometrical Structures in Banach Spaces written by Nassif Ghoussoub and published by American Mathematical Soc.. This book was released on 1987 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Robert Gardner Bartle
Publisher : American Mathematical Soc.
ISBN 13 : 0821850571
Total Pages : 186 pages
Book Rating : 4.8/5 (218 download)
Download or read book Geometry of Normed Linear Spaces written by Robert Gardner Bartle and published by American Mathematical Soc.. This book was released on 1986 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Features 17 papers that resulted from a 1983 conference held to honor Professor Mahlon Marsh Day upon his retirement from the University of Illinois. This work is suitable for researchers and graduate students in functional analysis.
Author :
Publisher : Elsevier
ISBN 13 : 0080532802
Total Pages : 1017 pages
Book Rating : 4.0/5 (85 download)
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.
Author : Gilles Godefroy
Publisher : American Mathematical Society
ISBN 13 : 1470475707
Total Pages : 358 pages
Book Rating : 4.4/5 (74 download)
Download or read book Geometry of Banach Spaces and Related Fields written by Gilles Godefroy and published by American Mathematical Society. This book was released on 2024-03-27 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive presentation of recent approaches to and results about properties of various classes of functional spaces, such as Banach spaces, uniformly convex spaces, function spaces, and Banach algebras. Each of the 12 articles in this book gives a broad overview of current subjects and presents open problems. Each article includes an extensive bibliography. This book is dedicated to Professor Per. H. Enflo, who made significant contributions to functional analysis and operator theory.
Author :
Publisher : Elsevier
ISBN 13 : 0080533507
Total Pages : 873 pages
Book Rating : 4.0/5 (85 download)
Download or read book Handbook of the Geometry of Banach Spaces written by and published by Elsevier. This book was released on 2003-05-06 with total page 873 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of the Geometry of Banach Spaces
Author : L. Schwartz
Publisher : Lecture Notes in Mathematics
ISBN 13 :
Total Pages : 120 pages
Book Rating : 4.F/5 ( download)
Download or read book Geometry and Probability in Banach Spaces written by L. Schwartz and published by Lecture Notes in Mathematics. This book was released on 1981-04 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Nigel John Kalton
Publisher : American Mathematical Soc.
ISBN 13 : 0821825577
Total Pages : 105 pages
Book Rating : 4.8/5 (218 download)
Download or read book Lattice Structures on Banach Spaces written by Nigel John Kalton and published by American Mathematical Soc.. This book was released on 1993 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: The general problem addressed in this work is to characterize the possible Banach lattice structures that a separable Banach space may have. The basic questions of uniqueness of lattice structure for function spaces have been studied before, but here the approach uses random measure representations for operators in a new way to obtain more powerful conclusions.
Author : Joseph Diestel
Publisher : American Mathematical Soc.
ISBN 13 : 0821815156
Total Pages : 338 pages
Book Rating : 4.8/5 (218 download)
Download or read book Vector Measures written by Joseph Diestel and published by American Mathematical Soc.. This book was released on 1977-06-01 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this survey the authors endeavor to give a comprehensive examination of the theory of measures having values in Banach spaces. The interplay between topological and geometric properties of Banach spaces and the properties of measures having values in Banach spaces is the unifying theme. The first chapter deals with countably additive vector measures finitely additive vector measures, the Orlicz-Pettis theorem and its relatives. Chapter II concentrates on measurable vector valued functions and the Bochner integral. Chapter III begins the study of the interplay among the Radon-Nikodym theorem for vector measures, operators on $L_1$ and topological properties of Banach spaces. A variety of applications is given in the next chapter. Chapter V deals with martingales of Bochner integrable functions and their relation to dentable subsets of Banach spaces. Chapter VI is devoted to a measure-theoretic study of weakly compact absolutely summing and nuclear operators on spaces of continuous functions. In Chapter VII a detailed study of the geometry of Banach spaces with the Radon-Nikodym property is given. The next chapter deals with the use of Radon-Nikodym theorems in the study of tensor products of Banach spaces. The last chapter concludes the survey with a discussion of the Liapounoff convexity theorem and other geometric properties of the range of a vector measure. Accompanying each chapter is an extensive survey of the literature and open problems.
Author : A. Bellow
Publisher : Springer
ISBN 13 : 3540381074
Total Pages : 423 pages
Book Rating : 4.5/5 (43 download)
Download or read book Measure Theory written by A. Bellow and published by Springer. This book was released on 2006-11-14 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher : Cambridge University Press
ISBN 13 : 0521408504
Total Pages : 288 pages
Book Rating : 4.5/5 (214 download)
Download or read book Geometry of Banach Spaces written by and published by Cambridge University Press. This book was released on 1990 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher : Elsevier
ISBN 13 : 0080871798
Total Pages : 321 pages
Book Rating : 4.0/5 (88 download)
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
Author : R. D. Bourgin
Publisher : Lecture Notes in Mathematics
ISBN 13 :
Total Pages : 492 pages
Book Rating : 4.F/5 ( download)
Download or read book Geometric Aspects of Convex Sets with the Radon-Nikodym Property written by R. D. Bourgin and published by Lecture Notes in Mathematics. This book was released on 1983-05 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: a
Author : Albrecht Pietsch
Publisher : Springer Science & Business Media
ISBN 13 : 0817645969
Total Pages : 877 pages
Book Rating : 4.8/5 (176 download)
Download or read book History of Banach Spaces and Linear Operators written by Albrecht Pietsch and published by Springer Science & Business Media. This book was released on 2007-12-31 with total page 877 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a distinguished specialist in functional analysis, this book presents a comprehensive treatment of the history of Banach spaces and (abstract bounded) linear operators. Banach space theory is presented as a part of a broad mathematics context, using tools from such areas as set theory, topology, algebra, combinatorics, probability theory, logic, etc. Equal emphasis is given to both spaces and operators. The book may serve as a reference for researchers and as an introduction for graduate students who want to learn Banach space theory with some historical flavor.
Author : R. D. Bourgin
Publisher : Springer
ISBN 13 : 3540398732
Total Pages : 485 pages
Book Rating : 4.5/5 (43 download)
Download or read book Geometric Aspects of Convex Sets with the Radon-Nikodym Property written by R. D. Bourgin and published by Springer. This book was released on 2006-11-15 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Antonio J. Guirao
Publisher : Springer
ISBN 13 : 3319335723
Total Pages : 179 pages
Book Rating : 4.3/5 (193 download)
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.
