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: Operator algebras generated by commuting projections
    sub title: a vector measure approach
  name:
    name part: Ricker, Werner
    name part: 1954-
    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: 1999
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xvii, 159 pages) : illustrations.
  abstract: This book presents a systematic investigation of the theory of those commutative, unital subalgebras (of bounded linear operators acting in a Banach space) which are closed for some given topology and are generated by a uniformly bounded Boolean algebra of projections. One of the main aims is to employ the methods of vector measures and integration as a unifying theme throughout. This yields proofs of several classical results which are quite different to the classical ones. This book is directed to both those wishing to learn this topic for the first time and to current experts in the field.
  table of contents: Vector measures and Banach spaces -- Abstract Boolean algebras and Stone spaces -- Boolean algebras of projections and uniformly closed operator algebras -- Ranges of spectral measures and Boolean algebras of projections -- Integral representation of the strongly closed algebra generated by a Boolean algebra of projections -- Bade functionals: an application to scalar-type spectral operators -- The reflexivity theorem and bicommutant algebras.
  note: Werner Ricker.
  note: Electronic resource.
  note: Includes bibliographical references (pages [121]-123) and index.
  subject:
    topic: Vector valued functions
  subject:
    topic: Algebra, Boolean
  subject:
    topic: Operator algebras
  subject:
    topic: Algebra, Boolean
  subject:
    topic: Operator algebras
  subject:
    topic: Vector valued functions
  classification: QA3 .L28 no. 1711
  classification: QA323
  classification: 510 s 512/.55
  related item:
    title info:
      title: Operator algebras generated by commuting projections
    name:
      name part: Ricker, Werner, 1954-
    origin info:
      publisher: Berlin ; New York : Springer, 1999
    identifier: (DLC) 99042231
    identifier: (OCoLC)42296791
  related item:
    title info:
      title: Operator algebras generated by commuting projections
    name:
      name part: Ricker, Werner, 1954-
    origin info:
      publisher: Berlin ; New York : Springer, 1999
    identifier: (OCoLC)795027588
  related item:
    title info:
      title: Lecture notes in mathematics (Springer-Verlag) ; 1711
  identifier: 9783540482796 (electronic bk.)
  identifier: 3540482792 (electronic bk.)
  identifier: 3540664610
  identifier: 9783540664611
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: COO
    record creation date: 990812
    record change date: 20260422204740.7
    record identifier: in00003509388
    language of cataloging:
      language term: eng