EAN: 9783030164881

LIPSCHITZ FUNCTIONS - STEFAN COBZAS RADU MICULE...

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.

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