Geodesic
Linearization and compactness
Jesús Ángel Jaramillo1 ; Ángeles Prieto1 ; Ignacio Zalduendo2
1Departamento de Análisis Matemático Facultad de Ciencias Matemáticas Universidad Complutense de Madrid 28040 Madrid, Spain
2Departamento de Matemática Universidad Torcuato Di Tella Miñones 2177 (C1428ATG) Buenos Aires, Argentina
Studia Mathematica, Tome 191 (2009) no. 2, pp. 181-200
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm191-2-6
Keywords: paper devoted several questions concerning linearizations function spaces first consider relation between linearizations given space viewed function space different domains study problem characterizing banach function space admits banach linearization natural finally consider relevance compactness properties linearizations precisely relation between different compactness properties mapping compactness its associated linear operator

Jesús Ángel Jaramillo  1   ; Ángeles Prieto  1   ; Ignacio Zalduendo  2

1 Departamento de Análisis Matemático Facultad de Ciencias Matemáticas Universidad Complutense de Madrid 28040 Madrid, Spain
2 Departamento de Matemática Universidad Torcuato Di Tella Miñones 2177 (C1428ATG) Buenos Aires, Argentina 
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Jesús Ángel Jaramillo; Ángeles Prieto; Ignacio Zalduendo. Linearization and compactness. Studia Mathematica, Tome 191 (2009) no. 2, pp. 181-200. doi: 10.4064/sm191-2-6

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