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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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

Item Type:Article
Uncontrolled Keywords:C(K) spaces; Injective tensor products; Metrizable compact spaces
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:12362
Deposited On:07 Mar 2011 11:13
Last Modified:06 Feb 2014 09:23

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