TY - BOOK ID - 46320344 TI - Lipschitz Functions AU - Cobzaş, Ştefan. AU - Miculescu, Radu. AU - Nicolae, Adriana. PY - 2019 VL - 2241 SN - 00758434 SN - 3030164896 3030164888 PB - Cham : Springer International Publishing : Imprint: Springer, DB - UniCat KW - Functional analysis. KW - Mathematics. KW - Operator theory. KW - Discrete groups. KW - Functional Analysis. KW - Real Functions. KW - Approximations and Expansions. KW - Operator Theory. KW - Convex and Discrete Geometry. KW - Lipschitz, Espacios de KW - Groups, Discrete KW - Discrete mathematics KW - Infinite groups KW - Functional analysis KW - Math KW - Science KW - Functional calculus KW - Calculus of variations KW - Functional equations KW - Integral equations KW - Lipschitz spaces. KW - Hölder spaces KW - Function spaces KW - Functions of real variables. KW - Approximation theory. KW - Convex geometry . KW - Discrete geometry. KW - Geometry KW - Combinatorial geometry KW - Theory of approximation KW - Functions KW - Polynomials KW - Chebyshev systems KW - Real variables KW - Functions of complex variables UR - https://www.unicat.be/uniCat?func=search&query=sysid:46320344 AB - 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. ER -