Functional analysis
著者
書誌事項
Functional analysis
（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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