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Tensor products and independent sums of Lp-spaces, 1[p[[infinity] /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
1999.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 660. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 0. Introduction 1. The constructions of $\mathcal {L}_p$-spaces 2. Isomorphic properties of $(p, 2)$-sums and the spaces $R^\alpha _p$ 3. Isomorphic classification of $R^\alpha _p$, $\alpha <\omega _1$ 4. Isomorphism from $X_p \otimes X_p$ into $(p, 2)$-sums 5. Selection of bases in $X_p \otimes X_p$ 6. $X_p \otimes X_p$-preserving operators on $X_p \otimes X_p$ 7. Isomorphisms of $X_p \otimes X_p$ onto complemented subspaces of $(p, 2)$-sums 8. $X_p \otimes X_p$ is not in the scale $R^\alpha _p$, $\alpha <\omega _1$ 9. Final remarks and open problems.