UID:
almahu_9948105322402882
Format:
XIV, 593 p. 2 illus.
,
online resource.
ISBN:
9783030164898
Series Statement:
Lecture Notes in Mathematics, 2241
Content:
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.
In:
Springer eBooks
Additional Edition:
Printed edition: ISBN 9783030164881
Additional Edition:
Printed edition: ISBN 9783030164904
Language:
English
Subjects:
Mathematics
DOI:
10.1007/978-3-030-16489-8
URL:
https://doi.org/10.1007/978-3-030-16489-8
URL:
Volltext
(URL des Erstveröffentlichers)
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