Functional analysis /

Guardado en:
Autor Principal: Lax, Peter D.
Formato: Libro
Idioma:English
Publicado: New York : Wiley-Interscience, c2002.
Materias:
Acceso en línea:Publisher description
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245 1 0 |a Functional analysis /  |c Peter D. Lax. 
260 |a New York :  |b Wiley-Interscience,  |c c2002. 
300 |a xix, 580 p. ;  |c 25 cm. 
504 |a Incluye referencias bibliográficas e índice. 
505 0 |a 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. 
510 4 |a MR,  |c 2003a:47001 
020 |a 0471556041 
100 1 |a Lax, Peter D. 
650 0 |a Functional analysis. 
084 |a 47-01 (46-01)  |2 msc2000 
010 |a  2001046547 
040 |a DLC  |c DLC  |d DLC 
856 4 2 |3 Publisher description  |u http://www.loc.gov/catdir/description/wiley034/2001046547.html 
859 |h 47  |i L425  |p A-8321  |b BIB. MATEMATICA