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: Nonarchimedean Functional Analysis
  name:
    name part: Schneider, Peter.
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 2002
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (vii, 156 pages)
  abstract: The present book is a self-contained text which leads the reader through all the important aspects of the theory of locally convex vector spaces over nonarchimedean fields. One can observe an increasing interest in methods from nonarchimedean functional analysis, particularly in number theory and in the representation theory of p-adic reductive groups. The book gives a concise and clear account of this theory, it carefully lays the foundations and also develops the more advanced topics. Although the book will be a valuable reference work for experts in the field, it is mainly intended as a streamlined but detailed introduction for researchers and graduate students who wish to apply these methods in different areas.
  table of contents: I. Foundations -- Nonarchimedean Fields; Seminorms; Normed Vector Spaces; Locally Convex Vector Spaces; Constructions and Examples; Spaces of Continuous Linear Maps; Completeness; Fréchet Spaces; the Dual Space. -- II. The Structure of Banach Spaces -- Structure theorems; Non-Reflexivity -- III. Duality Theory -- C-Compact and Compactoid Submodules; Polarity; Admissible Topologies; Reflexivity; Compact Limits -- IV. Nuclear Maps and Spaces -- Topological Tensor Products; Completely Continuous Maps; Nuclear Spaces; Nuclear Maps; Traces; Fredholm Theory -- References -- Index, Notations.
  note: by Peter Schneider.
  note: Electronic resource.
  subject:
    topic: Mathematics
  subject:
    topic: Global analysis (Mathematics)
  subject:
    topic: Number theory
  subject:
    topic: Global analysis (Mathematics)
  subject:
    topic: Mathematics
  subject:
    topic: Number theory
  classification: QA299.6-433
  classification: 515
  related item:
    title info:
      title: Springer monographs in mathematics
  identifier: 9783662047286 (electronic bk.)
  identifier: 3662047284 (electronic bk.)
  identifier: 9783642076404
  identifier: 3642076408
  identifier: 3662047284
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: AU@
    record creation date: 130125
    record change date: 20260422211545.1
    record identifier: in00003563824
    language of cataloging:
      language term: eng