Functional analysis

Author(s)

Bibliographic Information

Functional analysis

Walter Rudin

(International series in pure and applied mathematics)

McGraw-Hill Education, 2005, c1991

2nd ed., international ed

  • : pbk

Available at  / 2 libraries

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Note

Bibliography: p. 412-413

Includes index

Description and Table of Contents

Description

Written for undergraduate courses, this new edition includes coverage of current topics of research and contains more exercises and examples. New topics covered include: Kakutani's fixed point theorem; Lomonosov's invariant subspace theorem; and an ergodic theorem.

Table of Contents

  • Part1 General theory: topological vector spaces
  • completeness
  • convexity
  • duality in Banach spaces
  • some applications. Part 2 Distributions and Fourier transforms: test functions and distributions
  • Fourier transforms
  • applications to differential equations
  • Tauberian theory. Part 3 Banach algebras and spectral theory: Banach algebras
  • commutative Banach algebras
  • bounded operators on a Hilbert space
  • unbounded operators. Appendices: compactness and continuity
  • notes and comments.

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