Elements of Geometry of Balls in Banach Spaces
Book Details
Format
Hardback or Cased Book
ISBN-10
0198827350
ISBN-13
9780198827351
Publisher
Oxford University Press
Imprint
Oxford University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Sep 20th, 2018
Print length
172 Pages
Weight
432 grams
Dimensions
16.10 x 24.00 x 1.60 cms
Product Classification:
Functional analysis & transformsDifferential calculus & equationsGeometry
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This book forms the basis of a one-semester course for advanced undergraduate or beginning graduate students studying the 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 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.
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