Artículo
On p-Compact Sets in Classical Banach Spaces
Autor/es | Delgado Sánchez, Juan Manuel
Piñeiro Gómez, Cándido |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2014 |
Fecha de depósito | 2019-06-19 |
Publicado en |
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Resumen | Given p ≥ 1, we denote by Cp the class of all Banach spaces X
satisfying the equality Kp(Y,X) = Πdp(Y,X) for every Banach space Y ,
Kp (respectively, Πdp
) being the operator ideal of p-compact operators
(respectively, ... Given p ≥ 1, we denote by Cp the class of all Banach spaces X satisfying the equality Kp(Y,X) = Πdp(Y,X) for every Banach space Y , Kp (respectively, Πdp ) being the operator ideal of p-compact operators (respectively, of operators with p-summing adjoint). If X belongs to Cp, a bounded set A ⊂ X is relatively p-compact if and only if the evaluation map U∗ A : X∗ −→ ∞(A) is p-summing. We obtain p-compactness criteria valid for Banach spaces in Cp. |
Cita | Delgado Sánchez, J.M. y Piñeiro Gómez, C. (2014). On p-Compact Sets in Classical Banach Spaces. International Mathematical Forum, 9 (2), 51-63. |
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