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Banach Lattices /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg,
1991.
|
| Colección: | Universitext.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 1 Riesz Spaces
- 1.1 Basic Properties of Riesz Spaces and Banach Lattices
- 1.2 Sublattices, Ideals, and Bands
- 1.3 Regular Operators and Order Bounded Functionals
- 1.4 Duality of Riesz Spaces, the Nakano Theory
- 1.5 Extensions of Positive Operators
- 2 Classical Banach Lattices
- 2.1 C(K)-Spaces and M-Spaces
- 2.2 Complex Riesz Spaces
- 2.3 Disjoint Sequences and Approximately Order Bounded Sets
- 2.4 Order Continuity of the Norm, KB-Spaces and the Fatou Property
- 2.5 Weak Compactness
- 2.6 Banach Function Spaces
- 2.7 Lp-Spaces and Related Results
- 2.8 Cone p-Absolutely Summing Operators and p-Subadditive Norms
- 3 Operators on Riesz Spaces and Banach Lattices
- 3.1 Disjointness Preserving Operators and Orthomorphisms on Riesz Spaces
- 3.2 Operators on L-and M-Spaces
- 3.3 Kernel Operators
- 3.4 Order Weakly Compact Operators
- 3.5 Weakly Compact Operators
- 3.6 Approximately Order Bounded Operators
- 3.7 Compact Operators and Dunford-Pettis Operators
- 3.8 Tensor Products of Banach Lattices
- 3.9 Vector Measures and Vectorial Integration
- 4 Spectral Theory of Positive Operators
- 4.1 Spectral Properties of Positive Linear Operators
- 4.2 Irreducible Operators
- 4.3 Measures of Non-Compactness
- 4.4 Local Spectral Theory for Positive Operators
- 4.5 Order Spectrum of Regular Operators
- 4.6 Disjointness Preserving Operators and the Zero-Two Law
- 5 Structures in Banach Lattices
- 5.1 Banach Space Properties of Banach Lattices
- 5.2 Banach Lattices with Subspaces Isomorphic to C, C(0,l), and L1(0,1)
- 5.3 Grothendieck Spaces
- 5.4 Radon-Nikodym Property in Banach Lattices
- References.