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Interpolation of weighted Banach lattices : a characterization of relatively decomposable Banach lattices /
Interpolation of weighted Banach lattices, by Michael Cwikel and Per G. Nilsson: Introduction Definitions, terminology and preliminary results The main results A uniqueness theorem Two properties of the $K$-functional for a couple of Banach lattices Characterizations of couples which are uniformly C...
| Cote: | Libro Electrónico |
|---|---|
| Auteur principal: | |
| Autres auteurs: | , |
| Format: | Électronique eBook |
| Langue: | Inglés |
| Publié: |
Providence, R.I. :
American Mathematical Society,
2003.
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| Collection: | Memoirs of the American Mathematical Society ;
no. 787. |
| Sujets: | |
| Accès en ligne: | Texto completo |
Table des matières:
- Interpolation of weighted Banach lattices 0. Introduction 1. Definitions, terminology and preliminary results 2. The main results 3. A uniqueness theorem 4. Two properties of the $K$-functional for a couple of Banach lattices 5. Characterizations of couples which are uniformly Calderón-Mityagin for all weights 6. Some uniform boundedness principles for interpolation of Banach lattices 7. Appendix: Lozanovskii's formula for general Banach lattices of measurable functions A characterization of relatively decomposable Banach lattices 1. Introduction 2. Equal norm upper and lower $p$-estimates and some other preliminary results 3. Completion of the proof of the main theorem 4. Application to the problem of characterizing interpolation spaces.