Franklin

Elements of geometry of balls in Banach spaces / Kazimierz Goebel and Stanisław Prus.

Author/Creator:
Goebel, Kazimierz, 1940- author.
Edition:
First edition.
Publication:
Oxford, England : Oxford University Press, [2018]
Series:
Oxford scholarship online.
Oxford scholarship online
Format/Description:
Book
1 online resource : illustrations (black and white).
Subjects:
Banach spaces.
Functional analysis.
Form/Genre:
Electronic books.
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 text 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.
Notes:
This edition previously issued in print: 2018.
Includes bibliographical references (pages 157-161) and index.
Description based on print version record.
Contributor:
Prus, Stanisław, author.
ISBN:
0-19-256232-0
0-19-186626-1
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