Artículo
Uniformly Summing Sets of Operators on Spaces of Continuous Functions
Autor/es | Delgado Sánchez, Juan Manuel
Piñeiro Gómez, Cándido |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2004 |
Fecha de depósito | 2019-06-19 |
Publicado en |
|
Resumen | Let X and Y be Banach spaces. A set ℳ of 1-summing operators from X into Y is said to be uniformly summing if the following holds: given a weakly 1-summing sequence (xn) in X, the series ∑n‖Txn‖ is uniformly convergent in ... Let X and Y be Banach spaces. A set ℳ of 1-summing operators from X into Y is said to be uniformly summing if the following holds: given a weakly 1-summing sequence (xn) in X, the series ∑n‖Txn‖ is uniformly convergent in T∈ℳ. We study some general properties and obtain a characterization of these sets when ℳ is a set of operators defined on spaces of continuous functions. |
Cita | Delgado Sánchez, J.M. y Piñeiro Gómez, C. (2004). Uniformly Summing Sets of Operators on Spaces of Continuous Functions. International Journal of Mathematics and Mathematical Sciences, 63, 3397-3407. |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
Uniformly.pdf | 1.855Mb | [PDF] | Ver/ | |