Artículo
A note on uniformly dominated sets of summing operators
Autor/es | Delgado Sánchez, Juan Manuel
Piñeiro Gómez, Cándido |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2002 |
Fecha de depósito | 2019-07-01 |
Publicado en |
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Resumen | Let 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 ... Let 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. |
Cita | Delgado 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. |
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