Remarks on a theorem of Taskinen on spaces of continuous functions
We clarify and prove in a simpler way a result of Taskinen about symmetric operators on C(K-n), K an uncountable metrizable compact space. To do this we prove that, for any compact space K and any n is an element of N, the symmetric injective n-tensor product of C(K)(⊗) over cap C-n(s,eps...
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| Formato: | artículo |
| Fecha de publicación: | 2003 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/57025 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/57025 |
| Access Level: | acceso abierto |
| Palavra-chave: | 517.98 C(K) spaces Injective tensor products Metrizable compact spaces Análisis funcional y teoría de operadores |
| Resumo: | We clarify and prove in a simpler way a result of Taskinen about symmetric operators on C(K-n), K an uncountable metrizable compact space. To do this we prove that, for any compact space K and any n is an element of N, the symmetric injective n-tensor product of C(K)(⊗) over cap C-n(s,epsilon)(K), is complemented in C((BC(K)*)), a result of independent interest. The techniques we develop allow us to extend the result in several directions. We also show that the hypothesis of metrizability and uncountability cannot be removed |
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