03678nam 22007095 450 99646667070331620200702220639.03-030-16489-610.1007/978-3-030-16489-8(CKB)4100000008280549(DE-He213)978-3-030-16489-8(MiAaPQ)EBC5925719(PPN)236521853(EXLCZ)99410000000828054920190522d2019 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierLipschitz Functions[electronic resource] /by Ştefan Cobzaş, Radu Miculescu, Adriana Nicolae1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (XIV, 593 p. 2 illus.)Lecture Notes in Mathematics,0075-8434 ;22413-030-16488-8 Includes bibliographical references and index.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.Lecture Notes in Mathematics,0075-8434 ;2241Functional analysisFunctions of real variablesApproximation theoryOperator theoryConvex geometry Discrete geometryFunctional Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12066Real Functionshttps://scigraph.springernature.com/ontologies/product-market-codes/M12171Approximations and Expansionshttps://scigraph.springernature.com/ontologies/product-market-codes/M12023Operator Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M12139Convex and Discrete Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21014Functional analysis.Functions of real variables.Approximation theory.Operator theory.Convex geometry .Discrete geometry.Functional Analysis.Real Functions.Approximations and Expansions.Operator Theory.Convex and Discrete Geometry.515.7Cobzaş Ştefanauthttp://id.loc.gov/vocabulary/relators/aut769117Miculescu Raduauthttp://id.loc.gov/vocabulary/relators/autNicolae Adrianaauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK996466670703316Lipschitz Functions2534321UNISA