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
    sub title: an introduction to Banach space theory
  name:
    name part: Morrison, Terry J.
    name part: 1947-
    role:
      role term: creator
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: nyu
    place:
      place term: New York
    publisher: Wiley
    date issued: ©2001
    date issued: 2001
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xi, 359 pages) : illustrations.
  abstract: A powerful introduction to one of the most active areas of theoretical and applied mathematicsThis distinctive introduction to one of the most far-reaching and beautiful areas of mathematics focuses on Banach spaces as the milieu in which most of the fundamental concepts are presented. While occasionally using the more general topological vector space and locally convex space setting, it emphasizes the development of the reader's mathematical maturity and the ability to both understand and ""do"" mathematics. In so doing, Functional Analysis provides a strong springboard for further ex.
  table of contents: Functional Analysis: An Introduction to Banach Space Theory; CONTENTS; Preface; Introduction; Notation and Conventions; Products and the Product Topology; Finite-Dimensional Spaces and Riesz's Lemma; The Daniell Integral; 1. Basic Definitions and Examples; 1.1 Examples of Banach Spaces; 1.2 Examples and Calculation of Dual Spaces; 2. Basic Principles with Applications; 2.1 The Hahn-Banach Theorem; 2.2 The Banach-Steinhaus Theorem; 2.3 The Open-Mapping and Closed-Graph Theorems; 2.4 Applications of the Basic Principles; 3. Weak Topologies and Applications
  table of contents: 3.1 Convex Sets and Minkowski Functionals3.2 Dual Systems and Weak Topologies; 3.3 Convergence and Compactness in Weak Topologies; 3.4 The Krein-Milman Theorem; 4. Operators on Banach Spaces; 4.1 Preliminary Facts and Linear Projections; 4.2 Adjoint Operators; 4.3 Weakly Compact Operators; 4.4 Compact Operators; 4.5 The Riesz-Schauder Theory; 4.6 Strictly Singular and Strictly Cosingular Operators; 4.7 Reflexivity and Factoring Weakly Compact Operators; 5. Bases in Banach Spaces; 5.1 Introductory Concepts; 5.2 Bases in Some Special Spaces; 5.3 Equivalent Bases and Complemented Subspaces
  table of contents: 5.4 Basic Selection Principles6. Sequences Series and a Little Geometry in Banach Spaces; 6.1 Phillips' Lemma; 6.2 Special Bases and Reflexivity in Banach Spaces; 6.3 Unconditionally Converging and Dunford-Pettis Operators; 6.4 Support Functionals and Convex Sets; 6.5 Convexity and the Differentiability of Norms; Bibliography; Author/Name Index; Subject Index; Symbol Index
  note: Terry J. Morrison.
  note: Includes bibliographical references (pages 341-344) and indexes.
  note: English.
  subject:
    topic: Functional analysis
  subject:
    topic: Calculus of variations
  classification: QA320 .M69 2001eb
  classification: 515.7
  related item:
    title info:
      title: Functional analysis
    name:
      name part: Morrison, Terry J., 1947-
    origin info:
      publisher: New York : Wiley, ©2001
    identifier: (DLC) 00036822
  related item:
    title info:
      title: Pure and applied mathematics (John Wiley & Sons : Unnumbered)
  identifier: 9781118031247
  identifier: 1118031245
  identifier: 0471372145
  identifier: 9780471372141
  identifier: 1283306255
  identifier: 9781283306256
  identifier: 9786613306258
  identifier: 6613306258
  identifier: 1118032993
  identifier: 9781118032992
  identifier: 00036822
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: NhCcYBP
    record creation date: 000321
    record change date: 20260214204751.3
    record identifier: in00004679720
    language of cataloging:
      language term: eng