書誌事項

Functional analysis

Walter Rudin

(International series in pure and applied mathematics)

McGraw-Hill Education, 2005, c1991

2nd ed., international ed

  • : pbk

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注記

Bibliography: p. 412-413

Includes index

内容説明・目次

内容説明

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.

目次

  • 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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