Functional analysis /
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Libro |
| Lenguaje: | Inglés |
| Publicado: |
New York :
John Wiley,
c2002.
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| Materias: | |
| Acceso en línea: | Publisher description Table of contents |
| Aporte de: | Registro referencial: Solicitar el recurso aquí |
Tabla de Contenidos:
- Linear spaces
- Linear maps
- The Hahn-Banach theorem
- Applications of the Hahn-Banach theorem
- Normed linear spaces
- Hilbert space
- Applications of Hilbert space results
- Duals of normed linear spaces
- Applications of duality
- Weak convergence
- Applications of weak convergence
- The weak and weak topologies
- Locally convex topologies and the Krein-Milman theorem
- Examples of convex sets and their extreme points
- Bounded linear maps
- Examples of bounded linear maps
- Banach algebras and their elementary spectral theory
- Gelfand's theory of commutative Banach algebras
- Applications of Gelfand's theory of commutative Banach algebras
- Examples of operators and their spectra
- Compact maps
- Examples of compact operators
- Positive compact operators
- Fredholm's theory of inegral equations
- Invariant subspaces
- Harmonic analysis on a halfline
- Index theory
- Compact symmetric operators in Hilbert space
- Examples of compact symmetric operators
- 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.