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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm214-1-4,
author = {Juan Manuel Delgado and C\'andido Pi\~neiro},
title = {An approximation property with respect to an operator ideal},
journal = {Studia Mathematica},
volume = {215},
year = {2013},
pages = {67-75},
zbl = {06150598},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm214-1-4}
}
Juan Manuel Delgado; Cándido Piñeiro. An approximation property with respect to an operator ideal. Studia Mathematica, Tome 215 (2013) pp. 67-75. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm214-1-4/