%0 Journal Article %A Jaramillo Aguado, Jesús Ángel %A Prieto Yerro, M. Ángeles %A Zalduendo, Ignacio %T Linearization and compactness %D 2009 %@ 0039-3223 %U https://hdl.handle.net/20.500.14352/50120 %X 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. %~