Lipschitz functions / Ştefan Cobzaş, Radu Miculescu, Adriana Nicolae.
Cobzas, Stefan, author.; Miculescu, Radu, author.; Nicolae, Adriana, author.
2019
QA323 .C63 2019
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Title
Lipschitz functions / Ştefan Cobzaş, Radu Miculescu, Adriana Nicolae.
Author
Cobzas, Stefan, author.
ISBN
9783030164898 (electronic book)
3030164896 (electronic book)
3030164888
9783030164881
Published
Cham, Switzerland : Springer, [2019]
Language
English
Description
1 online resource
Call Number
QA323 .C63 2019
Dewey Decimal Classification
515.7
Summary
The 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.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Description based on online resource; title from digital title page (viewed on July 09, 2019).
Added Author
Miculescu, Radu, author.
Nicolae, Adriana, author.
Series
Lecture notes in mathematics (Springer-Verlag) ; 2241.
Available in Other Form
Print version 9783030164881
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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.

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