Functional analysis /
Guardado en:
| Autor Principal: | |
|---|---|
| Formato: | Libro |
| Idioma: | English |
| Publicado: |
New York :
Wiley-Interscience,
c2002.
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| Materias: | |
| Acceso en línea: | Publisher description |
| Etiquetas: |
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Tabla de Contenidos:
- 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 space
- 9. Applicaitons of duality
- 10. Weak sequential convergence
- 11. Applications of weak sequential convergence
- 12. The weak and weak* topologies in Banach spaces
- 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. Index theory
- 25. Invariant subspaces
- 26. Harmonic analysis on a halfline
- 27. Fredholm theory of integral equations
- 28. Spectral theory of compact, symmetric operators
- 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 selfadjoint operators
- 33. Examples of selfadjoint operators
- 34. Semigroups of operators
- 35. Groups of unitary operators
- 36. Examples of strongly continuous semigroups
- 37. Scattering theory
- 38. A theorem of Beurling
- Appendices: A. Riesz-Kakutani representation theorem; B. Theory of distributions; C. Zorn's lemma.