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Villanueva, Ignacio (2003) Remarks on a theorem of Taskinen on spaces of continuous functions. Mathematische Nachrichten, 250 . pp. 98103. ISSN 98103

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Official URL: http://onlinelibrary.wiley.com/doi/10.1002/mana.v250:1/issuetoc
Abstract
We clarify and prove in a simpler way a result of Taskinen about symmetric operators on C(Kn), 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 ntensor product of C(K)(&OTIMES;) over cap Cn(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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