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| Title: | Functional analysis / |
|---|---|
| Database Name: | WorldCat |
| All Authors / Contributors: |
Peter D Lax |
| ISBN: | 0471556041 (cloth : alk. paper); 9780471556046 (cloth : alk. paper) |
| Notes: | Bibliography: Includes bibliographical references and index. |
| Description: | xix, 580 p. ; 25 cm. |
| Contents: | 1. Linear spaces -- 2. Linear maps -- 3. The Hahn-Banach theorem -- 4. Applications of the Hahn-Banach theorem -- 5. Normed linear spaces -- 6. Hilbert space -- 7. Applications of Hilbert space results -- 8. Duals of normed linear spaces -- 9. Applications of duality -- 10. Weak convergence -- 11. Applications of weak convergence -- 12. The weak and weak topologies -- 13. Locally convex topologies and the Krein-Milman theorem -- 14. Examples of convex sets and their extreme points -- 15. Bounded linear maps -- 16. Examples of bounded linear maps -- 17. Banach algebras and their elementary spectral theory -- 18. Gelfand's theory of commutative Banach algebras -- 19. Applications of Gelfand's theory of commutative Banach algebras -- 20. Examples of operators and their spectra -- 21. Compact maps -- 22. Examples of compact operators -- 23. Positive compact operators -- 24. Fredholm's theory of inegral equations -- 25. Invariant subspaces -- 26. Harmonic analysis on a halfline -- 27. Index theory -- 28. Compact symmetric operators in Hilbert space -- 29. Examples of compact symmetric operators -- 30. Trace class and trace formula -- 31. Spectral theory of symmetric, normal, and unitary operators -- 32. Spectral theory of self-adjoint operators -- 33. Examples of self-adjoint operators -- 34. Semigroups of operators -- 35. Groups of unitary operators -- 36. Examples of strongly continuous semigroups -- 37. Scattering theory -- 38. A theorem of Beurling. |
| Responsibility: | Peter D. Lax. |
| Year: | c2002. |
| Publisher: | New York : Wiley, |
| Standard Numbers: | LCCN: 2001046547 |
| Class Descriptors: | LC Class No.: QA320; Dewey No.: 515 |
| More information: | Publisher description Table of contents |
| OCLC No.: | 47767143 |
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