Jaramillo Aguado, Jesús ÁngelPrieto Yerro, M. ÁngelesZalduendo, Ignacio2023-06-202023-06-2020090039-322310.4064/sm191-2-6https://hdl.handle.net/20.500.14352/50120This 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.Linearization and compactnessjournal articlehttp://helios.impan.gov.pl/cgi-bin/sm/pdf?sm191-2-06http://www.impan.pl/metadata only access517.98Bounded Holomorphic MappingsBanach-SpacesApproximation PropertyPredualsMontelAnálisis funcional y teoría de operadores