rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Lipschitz Functions
  name:
    name part: Cobzaş, Ştefan.
    role:
      role term: creator
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: Miculescu, Radu.
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: Nicolae, Adriana.
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2019
    edition: 1st ed. 2019.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIV, 593 p. 2 illus. online resource.
  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.
  note: by Ştefan Cobzaş, Radu Miculescu, Adriana Nicolae.
  subject:
    topic: Functional analysis
  subject:
    topic: Functions of real variables
  subject:
    topic: Approximation theory
  subject:
    topic: Operator theory
  subject:
    topic: Convex geometry
  subject:
    topic: Discrete geometry
  subject:
    topic: Functional Analysis
  subject:
    topic: Real Functions
  subject:
    topic: Approximations and Expansions
  subject:
    topic: Operator Theory
  subject:
    topic: Convex and Discrete Geometry
  classification: QA319-329.9
  classification: 515.7
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Lecture Notes in Mathematics, 2241
  identifier: 9783030164898
  identifier: https://doi.org/10.1007/978-3-030-16489-8
  record info:
    record creation date: 190522
    record change date: 20191024212643.0
    record identifier: 978-3-030-16489-8