Functional analysis /

This classic text is written for graduate courses in functional analysis. This text is used in modern investigations in analysis and applied mathematics. This new edition includes up-to-date presentations of topics as well as more examples and exercises. New topics include Kakutani's fixed poin...

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Bibliographic Details
Main Author: Rudin, Walter, 1921-2010 (Author)
Format: Book
Language:English
Published: New York : McGraw-Hill, [1991]
Edition:Second edition.
Series:International series in pure and applied mathematics
Subjects:

MARC

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245 1 0 |a Functional analysis /  |c Walter Rudin. 
250 |a Second edition. 
264 1 |a New York :  |b McGraw-Hill,  |c [1991] 
264 4 |c ©1991 
300 |a xv, 424 pages ;  |c 24 cm. 
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490 1 |a International series in pure and applied mathematics 
504 |a Includes bibliographical references (pages 412-413) and index. 
520 |a This classic text is written for graduate courses in functional analysis. This text is used in modern investigations in analysis and applied mathematics. This new edition includes up-to-date presentations of topics as well as more examples and exercises. New topics include Kakutani's fixed point theorem, Lamonosov's invariant subspace theorem, and an ergodic theorem. This text is part of the Walter Rudin Student Series in Advanced Mathematics. 
505 0 |a pt. I. General theory. 1. Topological vector spaces -- 2. Completeness -- 3. Convexity -- 4. Duality in Banach spaces -- 5. Some applications -- pt. II. Distributions and Fourier transforms. 6. Test functions and distributions -- 7. Fourier transforms -- 8. Applications to differential equations -- 9. Tauberian theory -- pt. III. Banach algebras and spectral theory. 10. Banach algebras -- 11. Commutative Banach algebras -- 12. Bounded operators on a Hilbert space -- 13. Unbounded operators. 
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