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: A Vector Measure Approach
  name:
    name part: Ricker, Werner.
    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: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 1999
    edition: 1st ed. 1999.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVIII, 166 p. online resource.
  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: by Werner Ricker.
  subject:
    topic: Operator theory
  subject:
    topic: Operator Theory
  classification: QA329-329.9
  classification: 515.724
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Lecture Notes in Mathematics, 1711
  identifier: 9783540482796
  identifier: https://doi.org/10.1007/BFb0096184
  record info:
    record creation date: 121227
    record change date: 20190620071318.0
    record identifier: 978-3-540-48279-6