Linearization and compactness

• Autorzy: Jesús Ángel Jaramillo , Ángeles Prieto , Ignacio Zalduendo
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46E50: Spaces of differentiable or holomorphic functions on infinite-dimensional spaces
• 46E10: Topological linear spaces of continuous, differentiable or analytic functions
• 47B07: Operators defined by compactness properties

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2009
• Tom: 191
• Numer: 2
• Strony: 181-200

Daty

wydano

2009

Twórcy

autor

Jesús Ángel Jaramillo

• Departamento de Análisis Matemático, Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain

autor

Ángeles Prieto

• Departamento de Análisis Matemático, Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain

autor

Ignacio Zalduendo

• Departamento de Matemática, Universidad Torcuato Di Tella, Miñones 2177 (C1428ATG), Buenos Aires, Argentina

Identyfikatory

DOI

10.4064/sm191-2-6