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Functional analysis

Author: Peter D Lax
Publisher: New York : Wiley, ©2002.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
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Genre/Form: Lehrbuch
Additional Physical Format: Online version:
Lax, Peter D.
Functional analysis.
New York : Wiley, c2002
(OCoLC)624428147
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Peter D Lax
ISBN: 0471556041 9780471556046
OCLC Number: 47767143
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.
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