RT Journal Article T1 Linearization and compactness A1 Jaramillo Aguado, Jesús Ángel A1 Prieto Yerro, M. Ángeles A1 Zalduendo, Ignacio AB 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. PB Polish Acad Sciences Inst Mathematics SN 0039-3223 YR 2009 FD 2009 LK https://hdl.handle.net/20.500.14352/50120 UL https://hdl.handle.net/20.500.14352/50120 NO MEC NO Grupo Santander/UCM DS Docta Complutense RD 9 abr 2025