Biblioteca de la Universidad Complutense de Madrid

Remarks on a theorem of Taskinen on spaces of continuous functions

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Villanueva, Ignacio (2003) Remarks on a theorem of Taskinen on spaces of continuous functions. Mathematische Nachrichten, 250 . pp. 98-103. ISSN 98-103

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URL Oficial: http://onlinelibrary.wiley.com/doi/10.1002/mana.v250:1/issuetoc



Resumen

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


Tipo de documento:Artículo
Palabras clave:C(K) spaces; Injective tensor products; Metrizable compact spaces
Materias:Ciencias > Matemáticas > Análisis funcional y teoría de operadores
Código ID:12362
Depositado:07 Mar 2011 11:13
Última Modificación:06 Feb 2014 09:23

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