Remarks on a theorem of Taskinen on spaces of continuous functions

Villanueva, Ignacio2023-06-202023-06-20200398-10310.1002/mana.200310024https://hdl.handle.net/20.500.14352/57025We 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)(&OTIMES;) 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 removedengRemarks on a theorem of Taskinen on spaces of continuous functionsjournal articlehttp://onlinelibrary.wiley.com/doi/10.1002/mana.v250:1/issuetocopen access517.98C(K) spacesInjective tensor productsMetrizable compact spacesAnálisis funcional y teoría de operadores