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: Advanced Integration Theory
  name:
    name part: Constantinescu, Corneliu.
    role:
      role term: creator
  name:
    name part: Filter, Wolfgang.
  name:
    name part: Weber, Karl.
  name:
    name part: Sontag, Alexia.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: ne
    date issued: 1998
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (872 pages)
  abstract: This book gives a general definition of the (abstract) integral, using the Daniell method. A most welcome consequence of this approach is the fact that integration theory on Hausdorff topological spaces appears simply to be a special case of abstract integration theory. The most important tool for the development of the abstract theory is the theory of vector lattices which is presented here in great detail. Its consequent application not only yields new insight into integration theory, but also simplifies many proofs. For example, the space of real-valued measures on a delta-ring turns out to be an order complete vector lattice, which permits a coherent development of the theory and the elegant derivation of many classical and new results. The exercises occupy an important part of the volume. In addition to their usual role, some of them treat separate topics related to vector lattices and integration theory. Audience: This work will be of interest to graduate-level students and researchers with a background in real analysis, whose work involves (abstract) measure and integration, vector lattices, real functions of a real variable, probability theory and integral transforms.
  note: by Corneliu Constantinescu, Wolfgang Filter, Karl Weber, Alexia Sontag.
  note: Electronic resource.
  subject:
    topic: Integrals, Generalized
  subject:
    topic: Measure theory
  subject:
    topic: Integrals, Generalized
  subject:
    topic: Measure theory
  classification: QA312
  classification: 515.42
  related item:
    title info:
      title: Mathematics and its applications ; 454
  identifier: 9789400708525 (electronic bk.)
  identifier: 9400708521 (electronic bk.)
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: I9W
    record creation date: 121227
    record change date: 20260422160818.0
    record identifier: in00003543636
    language of cataloging:
      language term: eng