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: Topological Vector Spaces and Their Applications
  name:
    name part: Bogachev, V.I.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Smolyanov, O.G.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2017
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: X, 456 p. online resource.
  abstract: This book gives a compact exposition of the fundamentals of the theory of locally convex topological vector spaces. Furthermore it contains a survey of the most important results of a more subtle nature, which cannot be regarded as basic, but knowledge which is useful for understanding applications. Finally, the book explores some of such applications connected with differential calculus and measure theory in infinite-dimensional spaces. These applications are a central aspect of the book, which is why it is different from the wide range of existing texts on topological vector spaces. In addition, this book develops differential and integral calculus on infinite-dimensional locally convex spaces by using methods and techniques of the theory of locally convex spaces. The target readership includes mathematicians and physicists whose research is related to infinite-dimensional analysis.
  table of contents: 1. Introduction to the theory of topological vector spaces -- 2. Methods of constructing topological vector spaces -- 3. Duality -- 4. Differential calculus -- 5.Measures on linear spaces.
  note: by V.I. Bogachev, O.G. Smolyanov.
  subject:
    topic: Mathematics
  subject:
    topic: Functional analysis
  subject:
    topic: Global analysis (Mathematics)
  subject:
    topic: Manifolds (Mathematics)
  subject:
    topic: Measure theory
  subject:
    topic: Probabilities
  subject:
    topic: Mathematics
  subject:
    topic: Functional Analysis
  subject:
    topic: Global Analysis and Analysis on Manifolds
  subject:
    topic: Measure and Integration
  subject:
    topic: Probability Theory and Stochastic Processes
  classification: QA319-329.9
  classification: 515.7
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Springer Monographs in Mathematics
  identifier: 9783319571171
  identifier: http://dx.doi.org/10.1007/978-3-319-57117-1
  record info:
    record creation date: 170518
    record change date: 20170518072857.0
    record identifier: 978-3-319-57117-1