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About this product
Product Identifiers
PublisherSpringer International Publishing A&G
ISBN-103030164888
ISBN-139783030164881
eBay Product ID (ePID)5038593083
Product Key Features
Number of PagesXiv, 593 Pages
LanguageEnglish
Publication NameLipschitz Functions
Publication Year2019
SubjectGeometry / Analytic, Functional Analysis, General, Mathematical Analysis
TypeTextbook
AuthorAdriana Nicolae, Radu Miculescu, ŞTefan Cobzaş
Subject AreaMathematics
SeriesLecture Notes in Mathematics Ser.
FormatTrade Paperback
Dimensions
Item Weight32.5 Oz
Item Length9.3 in
Item Width6.1 in
Additional Product Features
Reviews"This book provides a very large amount of interesting information. ... it is very useful that they are brought to readers' attention." (Mikhail Ostrovskii, Mathematical Reviews, December, 2019), "The book is accessible to graduate students, but it also contains recent results of interest to researchers in various domains as metric geometry, mathematical analysis, and functional analysis. My opinion this book will be of interest to everyone whose domain of interest is mathematical analysis and its applications." (Andrey Zahariev, zbMATH 1431.26002, 2020) "This book provides a very large amount of interesting information. ... it is very useful that they are brought to readers' attention." (Mikhail Ostrovskii, Mathematical Reviews, December, 2019)
Dewey Edition23
Series Volume Number2241
Number of Volumes1 vol.
IllustratedYes
Dewey Decimal515.73
Table Of Content- Prerequisites. - Basic Facts Concerning Lipschitz Functions. - Relations with Other Classes of Functions. - Extension Results for Lipschitz Mappings. - Extension Results for Lipschitz Mappings in Geodesic Spaces. - Approximations Involving Lipschitz Functions. - Lipschitz Isomorphisms of Metric Spaces. - Banach Spaces of Lipschitz Functions.
SynopsisThe aim of this book is to present various facets of the theory and applications of Lipschitz functions, starting with classical and culminating with some recent results. Among the included topics we mention: characterizations of Lipschitz functions and relations with other classes of functions, extension results for Lipschitz functions and Lipschitz partitions of unity, Lipschitz free Banach spaces and their applications, compactness properties of Lipschitz operators, Bishop-Phelps type results for Lipschitz functionals, applications to best approximation in metric and in metric linear spaces, Kantorovich-Rubinstein norm and applications to duality in the optimal transport problem, Lipschitz mappings on geodesic spaces. The prerequisites are basic results in real analysis, functional analysis, measure theory (including vector measures) and topology, which, for reader's convenience, are surveyed in the first chapter of the book.
LC Classification NumberQA319-329.9
