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Lipschitz functions

Cobzas, Stefan.

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Lipschitz functions

Record Type:	Electronic resources : Monograph/item
Title/Author:	Lipschitz functions/ by Stefan Cobzas, Radu Miculescu, Adriana Nicolae.
Author:	Cobzas, Stefan.
other author:	Miculescu, Radu.
Published:	Cham :Springer International Publishing : : 2019.,
Description:	xiv, 593 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Lipschitz spaces. -
Online resource:	https://doi.org/10.1007/978-3-030-16489-8
ISBN:	9783030164898

Lipschitz functions
Cobzas, Stefan.

Lipschitz functions[electronic resource] /by Stefan Cobzas, Radu Miculescu, Adriana Nicolae. - Cham :Springer International Publishing :2019. - xiv, 593 p. :ill., digital ;24 cm. - Lecture notes in mathematics,22410075-8434 ;. - Lecture notes in mathematics ;2241..

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.

ISBN: 9783030164898

Standard No.: 10.1007/978-3-030-16489-8doiSubjects--Topical Terms:

888656
Lipschitz spaces.

LC Class. No.: QA323 / .C639 2019

Dewey Class. No.: 515.7

Lipschitz functions
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100 1 $a Cobzas, Stefan. $3 3411075
245 1 0 $a Lipschitz functions $h [electronic resource] / $c by Stefan Cobzas, Radu Miculescu, Adriana Nicolae.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a xiv, 593 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in mathematics, $x 0075-8434 ; $v 2241
520 $a 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.
650 0 $a Lipschitz spaces. $3 888656
650 1 4 $a Functional Analysis. $3 893943
650 2 4 $a Real Functions. $3 891265
650 2 4 $a Approximations and Expansions. $3 897324
650 2 4 $a Operator Theory. $3 897311
650 2 4 $a Convex and Discrete Geometry. $3 893686
700 1 $a Miculescu, Radu. $3 3411076
700 1 $a Nicolae, Adriana. $3 3411077
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Lecture notes in mathematics ; $v 2241. $3 3411078
856 4 0 $u https://doi.org/10.1007/978-3-030-16489-8
950 $a Mathematics and Statistics (Springer-11649)