The natural rearrangement invariant structure on tensor products
We prove that the only rearrangement invariant (r.i.) spaces for which there exists a crossnorm verifying that the tensor product of these spaces preserves the "natural" r.i. space structure, in the sense that it makes the multiplication operator B a topological isomorphism, are the Lp spa...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2008 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/50306 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/50306 |
| Access Level: | acceso abierto |
| Palabra clave: | 517.98 Crossnorms in tensor product Rearrangement invariant spaces Lp spaces Análisis funcional y teoría de operadores |
| Sumario: | We prove that the only rearrangement invariant (r.i.) spaces for which there exists a crossnorm verifying that the tensor product of these spaces preserves the "natural" r.i. space structure, in the sense that it makes the multiplication operator B a topological isomorphism, are the Lp spaces. |
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