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Verfasst von:Cobzaş, Ştefan [VerfasserIn]   i
 Miculescu, Radu [VerfasserIn]   i
 Nicolae, Adriana [VerfasserIn]   i
Titel:Lipschitz Functions
Verf.angabe:Ştefan Cobzaş, Radu Miculescu, Adriana Nicolae
Verlagsort:Cham
Verlag:Springer
E-Jahr:2019
Jahr:[2019]
Umfang:1 Online-Ressource (XIV, 593 Seiten)
Illustrationen:Illustrationen
Gesamttitel/Reihe:Lecture Notes in Mathematics ; 2241
 Springer eBook Collection
 Springer eBooks : Mathematics and Statistics
ISBN:978-3-030-16489-8
Abstract: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
DOI:doi:10.1007/978-3-030-16489-8
URL:Resolving-System ; Verlag: https://doi.org/10.1007/978-3-030-16489-8
 Inhaltstext: https://zbmath.org/?q=an:1431.26002
 DOI: https://doi.org/10.1007/978-3-030-16489-8
Schlagwörter:(s)Lipschitz-Bedingung   i / (s)Funktionalanalysis   i
Datenträger:Online-Ressource
Sprache:eng
Bibliogr. Hinweis:Erscheint auch als : Druck-Ausgabe: Cobzaş, Ştefan, 1945 - : Lipschitz functions. - Cham, Switzerland : Springer, 2019. - xiv, 591 Seiten
K10plus-PPN:1666720968
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