Code: 22017270

Lipschitz Functions

Name: Lipschitz Functions
Brand: Springer Nature Switzerland AG
SKU: 22017270
Price: 65.46 EUR
Availability: InStock
Author: Stefan Cobzas
ISBN: 9783030164881

by Stefan Cobzas, Radu Miculescu, Adriana Nicolae

Language: English
Binding: Paperback
Number of pages: 593
Publisher: Springer Nature Switzerland AG, 2019
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Book synopsis

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.