Tensor products of almost r-summing maps.
A note on bornivorous barrels of C(X,E).
Ideales de operadores definidos por medio de espacios de sucesiones vectoriales.
Una caracterización del dual del ideal de los operadores absolutamente sumantes en espacios de Banach.
Duality of measures of non-𝒜-compactness
Let be a Banach operator ideal. Based on the notion of -compactness in a Banach space due to Carl and Stephani, we deal with the notion of measure of non–compactness of an operator. We consider a map (respectively, ) acting on the operators of the surjective (respectively, injective) hull of such that (respectively, ) if and only if the operator T is -compact (respectively, injectively -compact). Under certain conditions on the ideal , we prove an equivalence inequality involving and ....
An approximation property with respect to an operator ideal
Given an operator ideal , we say that a Banach space X has the approximation property with respect to if T belongs to for every Banach space Y and every T ∈ (Y,X), being the topology of uniform convergence on compact sets. We present several characterizations of this type of approximation property. It is shown that some of the existing approximation properties in the literature may be included in this setting.
Uniformly summing sets of operators on spaces of continuous functions.
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