Elements of geometry of balls in Banach spaces

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 contains: differential calculus in normed spa...

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Bibliographic Details
Main Authors Goebel, Kazimierz, Prus, Stanislaw
Format eBook Book
LanguageEnglish
Published Oxford Oxford University Press 2018
Oxford University Press, Incorporated
Edition1
Subjects
Banach spaces
Functional analysis
Pure Mathematics
balls
geometry
Banach spaces
Online AccessGet full text
ISBN0198827350
9780198827351
DOI10.1093/oso/9780198827351.001.0001

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Summary: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 contains: 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 aim of this book is to present basic facts from this field. It is addressed to advanced undergraduate and graduate students interested in the subject. For some it may result in further interest, a continuation and deepening of their study of the subject. It may be also useful for instructors running courses on functional analysis, supervising diploma theses or essays on various levels.
Bibliography:Formerly CIP Uk
Includes bibliographical references (p. [157]-161) and index
ISBN:0198827350
9780198827351
DOI:10.1093/oso/9780198827351.001.0001