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010   $a3-030-16489-6
024 7 $a10.1007/978-3-030-16489-8
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035   $a(DE-He213)978-3-030-16489-8
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035   $a(PPN)236521853
035   $a(EXLCZ)994100000008280549
100   $a20190522d2019      u|             0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aLipschitz Functions$b[electronic resource] /$fby ?tefan Cobza?, Radu Miculescu, Adriana Nicolae
205   $a1st ed. 2019.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019.
215   $a1 online resource (XIV, 593 p. 2 illus.)
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2241
311   $a3-030-16488-8 
320   $aIncludes bibliographical references and index.
330   $aThe aim of this book is to present various facets of the theory and applications of Lipschitz functions, starting with classical and culminating with some recent results. Among the included topics we mention: characterizations of Lipschitz functions and relations with other classes of functions, extension results for Lipschitz functions and Lipschitz partitions of unity, Lipschitz free Banach spaces and their applications, compactness properties of Lipschitz operators, Bishop-Phelps type results for Lipschitz functionals, applications to best approximation in metric and in metric linear spaces, Kantorovich-Rubinstein norm and applications to duality in the optimal transport problem, Lipschitz mappings on geodesic spaces. The prerequisites are basic results in real analysis, functional analysis, measure theory (including vector measures) and topology, which, for reader's convenience, are surveyed in the first chapter of the book.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v2241
606   $aFunctional analysis
606   $aFunctions of real variables
606   $aApproximation theory
606   $aOperator theory
606   $aConvex geometry 
606   $aDiscrete geometry
606   $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066
606   $aReal Functions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12171
606   $aApproximations and Expansions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12023
606   $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139
606   $aConvex and Discrete Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21014
615  0$aFunctional analysis.
615  0$aFunctions of real variables.
615  0$aApproximation theory.
615  0$aOperator theory.
615  0$aConvex geometry .
615  0$aDiscrete geometry.
615 14$aFunctional Analysis.
615 24$aReal Functions.
615 24$aApproximations and Expansions.
615 24$aOperator Theory.
615 24$aConvex and Discrete Geometry.
676   $a515.7
700   $aCobza?$b ?tefan$4aut$4http://id.loc.gov/vocabulary/relators/aut$0769117
702   $aMiculescu$b Radu$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aNicolae$b Adriana$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996466670703316
996   $aLipschitz Functions$92534321
997   $aUNISA