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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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
New York :
McGraw-Hill,
[1991]
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| Edition: | Second edition. |
| Series: | International series in pure and applied mathematics
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| Subjects: |
Table of Contents:
- 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.