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:
    non sort: A
    title: Short Course on Spectral Theory
  name:
    name part: Arveson, William.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2002
    edition: 1.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: X, 142 p. online resource.
  abstract: This book presents the basic tools of modern analysis within the context of the fundamental problem of operator theory: to calculate spectra of specific operators on infinite dimensional spaces, especially operators on Hilbert spaces. The tools are diverse, and they provide the basis for more refined methods that allow one to approach problems that go well beyond the computation of spectra: the mathematical foundations of quantum physics, noncommutative k-theory, and the classification of simple C*-algebras being three areas of current research activity which require mastery of the material presented here. The book is based on a fifteen-week course which the author offered to first or second year graduate students with a foundation in measure theory and elementary functional analysis.
  table of contents: Spectral Theory and Banach Algebras -- Operators on Hilbert Space -- Asymptotics: Compact Perturbations and Fredholm Theory -- Methods and Applications.
  note: by William Arveson.
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical analysis
  subject:
    topic: Analysis (Mathematics)
  subject:
    topic: Functional analysis
  subject:
    topic: Operator theory
  subject:
    topic: Mathematics
  subject:
    topic: Analysis
  subject:
    topic: Operator Theory
  subject:
    topic: Functional Analysis
  classification: QA299.6-433
  classification: 515
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Graduate Texts in Mathematics, 209
  identifier: 9780387215181
  identifier: http://dx.doi.org/10.1007/b97227
  record info:
    record creation date: 121227
    record change date: 20151204182448.0
    record identifier: 978-0-387-21518-1