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: Representations of Linear Operators Between Banach Spaces
  name:
    name part: Edmunds, David E.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Evans, W. Desmond.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: sz
    date issued: 2013
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XI, 152 p. 1 illus. in color. online resource.
  abstract: The book deals with the representation in series form of compact linear operators acting between Banach spaces, and provides an analogue of the classical Hilbert space results of this nature that have their roots in the work of D. Hilbert, F. Riesz and E. Schmidt. The representation involves a recursively obtained sequence of points on the unit sphere of the initial space and a corresponding sequence of positive numbers that correspond to the eigenvectors and eigenvalues of the map in the Hilbert space case. The lack of orthogonality is partially compensated by the systematic use of polar sets. There are applications to the p-Laplacian and similar nonlinear partial differential equations. Preliminary material is presented in the first chapter, the main results being established in Chapter 2. The final chapter is devoted to the problems encountered when trying to represent non-compact maps.
  table of contents: 1 Preliminaries -- 2 Representation of compact linear operators -- 3 Representation of bounded linear operators.
  note: by David E. Edmunds, W. Desmond Evans.
  subject:
    topic: Mathematics
  subject:
    topic: Operator theory
  subject:
    topic: Partial differential equations
  subject:
    topic: Mathematics
  subject:
    topic: Operator Theory
  subject:
    topic: Partial Differential Equations
  classification: QA329-329.9
  classification: 515.724
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Operator Theory: Advances and Applications, 238
  identifier: 9783034806428
  identifier: http://dx.doi.org/10.1007/978-3-0348-0642-8
  record info:
    record creation date: 130903
    record change date: 20151204174540.0
    record identifier: 978-3-0348-0642-8