Unexpected subspaces of tensor products
We describe complemented Copies Of l(2) both in C(K-1)circle times C-pi(K-2) when at least one of the compact spaces K-i is not scattered and in L-1(mu(1))circle times L-is an element of(1)(mu(2)) when at least one of the measures is not atomic. The corresponding local construction gives uniformly c...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2006 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/49481 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/49481 |
| Access Level: | acceso abierto |
| Palabra clave: | 517 Dunford-Pettis property Banach-spaces Análisis matemático 1202 Análisis y Análisis Funcional |
| Sumario: | We describe complemented Copies Of l(2) both in C(K-1)circle times C-pi(K-2) when at least one of the compact spaces K-i is not scattered and in L-1(mu(1))circle times L-is an element of(1)(mu(2)) when at least one of the measures is not atomic. The corresponding local construction gives uniformly complemented copies of the l(2)(n) in c(0)circle times(pi)c(0.) We continue the study of c(0)(l(2)(n)) showing that it contains a complemented copy of Stegall's space c(0)(l(2)(n)) and proving that (c(0)circle times(pi)c(0))" is isomorphic to l infinity(l(infinity)(n)circle times(pi)l(infinity)(n)) together with other results. 2 In the last section we use Hardy spaces to find an isomorphic copy of L-p in the space of compact operators from L-q to L-r, where 1 < p, q, r < infinity and 1/r = 1/p + 1/q. |
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