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: Functional analysis and summability
  title info:
    title: MATHnetBASE
  name:
    name part: Natarajan, P. N.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Taylor & Francis
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: flu
    date issued: 2020
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xx, 220 pages)
  abstract: There are excellent books on both functional analysis and summability. Most of them are very terse. In Functional Analysis and Summability, the author makes a sincere attempt for a gentle introduction of these topics to students. In the functional analysis component of the book, the Hahn-Banach theorem, Banach-Steinhaus theorem (or uniform boundedness principle), the open mapping theorem, the closed graph theorem, and the Riesz representation theorem are highlighted. In the summability component of the book, the Silverman-Toeplitz theorem, Schur's theorem, the Steinhaus theorem, and the Steinhaus-type theorems are proved. The utility of functional analytic tools like the uniform boundedness principle to prove some results in summability theory is also pointed out. Features A gentle introduction of the topics to the students is attempted. Basic results of functional analysis and summability theory and their applications are highlighted. Many examples are provided in the text. Each chapter ends with useful exercises. This book will be useful to postgraduate students, pre-research level students, and research scholars in mathematics. Students of physics and engineering will also find this book useful since topics in the book also have applications in related areas.
  table of contents: 1. Some Basic Concepts in Functional Analysis. 2. Linear Transformations, Linear Functionals and Convexity. 3. Hahn-Banach Theorem. 4. Reβexivity. 5. Banach-Steinhaus Theorem. 6. Closed Graph Theorem and Open Mapping Theorem. 7. Hilbert Spaces. 8. Silverman-Toeplitz Theorem and Schur's Theorem. 9. Steinhaus Type Theorem.
  target audience: adult
  note: P.N. Natarajan.
  note: "A Chapman & Hall book."
  subject:
    topic: Functional analysis
  subject:
    topic: Summability theory
  subject:
    topic: MATHEMATICS / Functional Analysis
  subject:
    topic: MATHEMATICS / Mathematical Analysis
  classification: QA320 .N383 2020eb
  classification: 515.7
  identifier: 9781003089360
  identifier: 1003089364
  identifier: 9781000191493
  identifier: 1000191494
  identifier: 9781000191479
  identifier: 1000191478
  identifier: 9780367544492
  identifier: 9780367544508
  identifier: 9781000191486
  identifier: 1000191486
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OCoLC-P
    record creation date: 200924
    record change date: 20220613180045.1
    record identifier: in00004582035
    language of cataloging:
      language term: eng