@article{10902/18471,
year = {2018},
url = {http://hdl.handle.net/10902/18471},
abstract = {A standard way to obtain extensions (resp. liftings) of operators is by making the so-called operations of push-out (resp. pull-back). In this paper we study the preservation of some classes of operators associated with an operator ideal Aunder push-out extensions or pull-back liftings. We show several examples of classical operator ideals whose associated classes are preserved, we prove that the preservation of those classes under push-out extension or pull-back lifting implies that the space ideal of Asatisfies the 3-space property, and we derive some results for Athat are useful in the study of commutative diagrams of operators.},
organization = {that of the three authors has been supported in part by MINECO (Spain), Project MTM2016-76958.},
publisher = {Academic Press Inc.},
publisher = {Journal of Mathematical Analysis and Applications (2018) Vol.462, Issue 1, pp. 471-482},
title = {Classes of operators preserved by extensions or liftings},
author = {Castillo, Jesús M.F. and González Ortiz, Manuel and Martínez Abejón, Antonio},
}