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Lipschitz functions / Ştefan Cobzaş, Radu Miculescu, Adriana Nicolae.

9783030164898 (electronic book)
3030164896 (electronic book)
3030164888
9783030164881

Cham, Switzerland : Springer, [2019]

English

1 online resource

QA323 .C63 2019

515.7

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.

Includes bibliographical references and index.

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Description based on online resource; title from digital title page (viewed on July 09, 2019).

Lecture notes in mathematics (Springer-Verlag) ; 2241.

Print version 9783030164881

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