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: An
    title: introduction to functional analysis
  name:
    name part: Robinson, James C. (James Cooper)
    name part: 1969-
    role:
      role term: creator
    role:
      role term: editor.
  type of resource: text
  genre: bibliography
  origin info:
    place:
      place term: enk
    date issued: 2020
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: print
    extent: xv, 403 pages : illustrations ; 24 cm.
  abstract: This accessible text covers key results in functional analysis that are essential for further study in the calculus of variations, analysis, dynamical systems and the theory of partial differential equations. The treatment of Hilbert spaces covers the topics required to prove the Hilbert-Schmidt Theorem, including orthonormal bases, the Riesz Representation Theorem and the basics of spectral theory. The material on Banach spaces and their duals includes the Hahn-Banach Theorem, the Krein-Milman Theorem and results based on the Baire Category Theorem, before culminating in a proof of sequential weak compactness in reflexive spaces. Arguments are presented in detail, and more than 200 fully worked exercises are included to provide practice applying techniques and ideas beyond the major theorems. Familiarity with the basic theory of vector spaces and point-set topology is assumed, but knowledge of measure theory is not required, making this book ideal for upper undergraduate-level and beginning graduate-level courses.
  note: James C. Robinson, University of Warwick.
  note: Includes bibliographical references (pages 394-395) and index.
  subject:
    topic: Functional analysis
  classification: QA320 .R63 2020
  classification: 515/.7
  identifier: 9780521899642
  identifier: 0521899648
  identifier: 9781139030267
  identifier: 0521728398
  identifier: 9780521728393
  identifier: 1139030264
  identifier: 2019045035
  record info:
    record content source: DLC
    record creation date: 200109
    record change date: 20200825145402.0
    record identifier: in00004159486