An approximation property with respect to an operator ideal

Juan Manuel Delgado, and Cándido Piñeiro. "An approximation property with respect to an operator ideal." Studia Mathematica 214.1 (2013): 67-75. <http://eudml.org/doc/285402>.

@article{JuanManuelDelgado2013,
abstract = {Given an operator ideal , we say that a Banach space X has the approximation property with respect to if T belongs to $\overline\{S∘T: S ∈ ℱ(X)\}^\{τ_\{c\}\}$ for every Banach space Y and every T ∈ (Y,X), $τ_\{c\}$ 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.},
author = {Juan Manuel Delgado, Cándido Piñeiro},
journal = {Studia Mathematica},
keywords = {approximation property; Banach ideal},
language = {eng},
number = {1},
pages = {67-75},
title = {An approximation property with respect to an operator ideal},
url = {http://eudml.org/doc/285402},
volume = {214},
year = {2013},
}

TY - JOUR
AU - Juan Manuel Delgado
AU - Cándido Piñeiro
TI - An approximation property with respect to an operator ideal
JO - Studia Mathematica
PY - 2013
VL - 214
IS - 1
SP - 67
EP - 75
AB - Given an operator ideal , we say that a Banach space X has the approximation property with respect to if T belongs to $\overline{S∘T: S ∈ ℱ(X)}^{τ_{c}}$ for every Banach space Y and every T ∈ (Y,X), $τ_{c}$ 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.
LA - eng
KW - approximation property; Banach ideal
UR - http://eudml.org/doc/285402
ER -