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Biblioteca Dr. Antonio Monteiro · Catálogo |
| LDR | ·····cam##22·····5a#4500 |
| 001 | 003971 |
| 005 | 20130222161955.0 |
| 008 | 010806s2002####nyu######b####001#0#eng## |
| 245 | 10 | $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 | 42 | $3 Publisher description $u http://www.loc.gov/catdir/description/wiley034/2001046547.html |
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