03293nam 22007215 450 991033825750332120251113184307.03-030-16489-610.1007/978-3-030-16489-8(CKB)4100000008280549(DE-He213)978-3-030-16489-8(MiAaPQ)EBC5925719(PPN)236521853(EXLCZ)99410000000828054920190522d2019 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierLipschitz Functions /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,1617-9692 ;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,1617-9692 ;2241Functional analysisFunctions of real variablesApproximation theoryOperator theoryConvex geometryDiscrete geometryFunctional AnalysisReal FunctionsApproximations and ExpansionsOperator TheoryConvex and Discrete GeometryFunctional 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.515.7515.7Cobzaş Ştefanauthttp://id.loc.gov/vocabulary/relators/aut769117Miculescu Raduauthttp://id.loc.gov/vocabulary/relators/autNicolae Adrianaauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910338257503321Lipschitz Functions2534321UNINA01360nam0 22002651i 450 UON0033928020231205104252.18020091019d1960 |0itac50 bafreFR|||| |||||ˆLe ‰Comité Central Républicain des vingt arrondissements de Paris (septembre 1870-mai 1871), d'apres les papiers inedits de constant martin et les sources imprimeesJean Dautry, Lucien Scheler, publié avec le concours du central national de la recherche scientifiqueParisEditions Sociales1960268 p.23 cm.FranciaStoria1870-1871UONC073745FIFRParisUONL002984DAUTRYJeanUONV152193174442SCHELERLucienUONV144426390917Editions SocialesUONV249242650ITSOL20260130RICASIBA - SISTEMA BIBLIOTECARIO DI ATENEO E ARCHIVIO STORICOUONSIUON00339280SIBA - SISTEMA BIBLIOTECARIO DI ATENEO E ARCHIVIO STORICOSI EUR D C 0418 SI SC 1902 5 0418 Comité Central Républicain des vingt arrondissements de Paris (septembre 1870-mai 1871), d'apres les papiers inedits de constant martin et les sources imprimees1362726UNIOR