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: Ideal spaces
  name:
    name part: Väth, Martin
    name part: 1967-
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 1997
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (146 pages)
  abstract: Ideal spaces are a very general class of normed spaces of measurable functions, which includes e.g. Lebesgue and Orlicz spaces. Their most important application is in functional analysis in the theory of (usual and partial) integral and integro-differential equations. The book is a rather complete and self-contained introduction into the general theory of ideal spaces. Some emphasis is put on spaces of vector-valued functions and on the constructive viewpoint of the theory (without the axiom of choice). The reader should have basic knowledge in functional analysis and measure theory.
  table of contents: Introduction -- Basic definitions and properties -- Ideal spaces with additional properties -- Ideal spaces on product measures and calculus -- Operators and applications -- Appendix: Some measurability results -- Sup-measurable operator functions -- Majorising principles for measurable operator functions -- A generalization of a theorem of Luxemburg-Gribanov -- References -- Index.
  note: Martin Väth.
  note: Electronic resource.
  note: Includes bibliographical references (pages [141]-143) and index.
  subject:
    topic: Ideal spaces
  subject:
    topic: Espace idéal
  subject:
    topic: Norme mixte
  subject:
    topic: Opérateur linéaire automatiquement continu
  subject:
    topic: Espaces parfaits
  subject:
    topic: Ideal spaces
  subject:
    topic: Functieruimten
  subject:
    topic: Idealen (wiskunde)
  subject:
    topic: Teoria da medida
  subject:
    topic: Idealer Funktionenraum
  classification: QA3 .L28 no. 1664
  classification: 510 s 515/.73
  classification: 31.46
  classification: MAT 164f
  classification: SI 850
  classification: SK 280
  classification: SK 600
  related item:
    title info:
      title: Ideal spaces
    name:
      name part: Väth, Martin, 1967-
    origin info:
      publisher: Berlin ; New York : Springer, ©1997
    identifier: (DLC) 97023667
    identifier: (OCoLC)37141176
  related item:
    title info:
      title: Lecture notes in mathematics (Springer-Verlag) ; 1664
  identifier: 9783540691921 (electronic bk.)
  identifier: 3540691928 (electronic bk.)
  identifier: 3540631607
  identifier: 9783540631606
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: BUF
    record creation date: 070730
    record change date: 20260422160736.2
    record identifier: in00003509344
    language of cataloging:
      language term: eng