This paper is devoted to several questions concerning linearizations of function spaces. We first consider the relation between linearizations of a given space when it is viewed as a function space over different domains. Then we study the problem of characterizing when a Banach function space admits a Banach linearization in a natural way. Finally, we consider the relevance of compactness properties in linearizations, more precisely, the relation between different compactness properties of a mapping, and compactness of its associated linear operator.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm191-2-6,
author = {Jes\'us \'Angel Jaramillo and \'Angeles Prieto and Ignacio Zalduendo},
title = {Linearization and compactness},
journal = {Studia Mathematica},
volume = {192},
year = {2009},
pages = {181-200},
zbl = {1177.46017},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm191-2-6}
}
Jesús Ángel Jaramillo; Ángeles Prieto; Ignacio Zalduendo. Linearization and compactness. Studia Mathematica, Tome 192 (2009) pp. 181-200. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm191-2-6/