2026-06-07T15:51:48Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/570252024-07-15T12:17:12Zcom_20.500.14352_14col_20.500.14352_15
Remarks on a theorem of Taskinen on spaces of continuous functions
Villanueva Díez, Ignacio
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
2023-06-20T16:47:36Z
2023-06-20T16:47:36Z
2023-06-20T16:47:36Z
2003
journal article
https://hdl.handle.net/20.500.14352/57025
98-103
10.1002/mana.200310024
eng
PB97-0240
Villanueva Díez, I. «Remarks on a Theorem of Taskinen on Spaces of Continuous Functions». Mathematische Nachrichten, vol. 250, n.o 1, febrero de 2003, pp. 98-103. DOI.org (Crossref), https://doi.org/10.1002/mana.200310024.
open access
Akademie-Verlag