Delgado Sánchez, Juan ManuelPiñeiro Gómez, Cándido2019-07-012019-07-012002Delgado Sánchez, J.M. y Piñeiro Gómez, C. (2002). A note on uniformly dominated sets of summing operators. International Journal of Mathematics and Mathematical Sciences, 29 (5), 307-312.1687-0425https://hdl.handle.net/11441/87683Let Y be a Banach space that has no finite cotype and p a real number satisfying 1≤p<∞. We prove that a set ℳ⊂Πp(X,Y) is uniformly dominated if and only if there exists a constant C>0 such that, for every finite set {(xi,Ti):i=1,…,n}⊂X×ℳ, there is an operator T∈Πp(X,Y) satisfying πp(T)≤C and ‖Tixi‖≤‖Txi‖ for i=1,…,n.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 InternacionalAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1155/S0161171202007688