Villanueva Díez, 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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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(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 12:13 |
| Last Modified: | 07 Mar 2011 12:13 |
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