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＜電子ブック＞
Lipschitz Functions / by Ştefan Cobzaş, Radu Miculescu, Adriana Nicolae
(Lecture Notes in Mathematics. ISSN:16179692 ; 2241)

版	1st ed. 2019.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2019
大きさ	XIV, 593 p. 2 illus : online resource
著者標目	*Cobzaş, Ştefan author Miculescu, Radu author Nicolae, Adriana author SpringerLink (Online service)
件　名	LCSH:Functional analysis LCSH:Functions of real variables LCSH:Approximation theory LCSH:Operator theory LCSH:Convex geometry  LCSH:Discrete geometry FREE:Functional Analysis FREE:Real Functions FREE:Approximations and Expansions FREE:Operator Theory FREE:Convex and Discrete Geometry
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-030-16489-8

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