Geodesic
Compact operators between $K$- and $J$-spaces
Fernando Cobos1 ; Luz M. Fernández-Cabrera2 ; Antón Martínez3
1Departamento de Análisis Matemático Facultad de Matemáticas Universidad Complutense de Madrid 28040 Madrid, Spain
2Sección Departamental de Matemática Aplicada Escuela de Estadística Universidad Complutense de Madrid 28040 Madrid, Spain
3Departamento de Matemática Aplicada E.T.S. Ingenieros Industriales Universidad de Vigo 36200 Vigo, Spain
Studia Mathematica, Tome 166 (2005) no. 3, pp. 199-220
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The paper establishes necessary and sufficient conditions for compactness of operators acting between general $K$-spaces, general $J$-spaces and operators acting from a $J$-space into a $K$-space. Applications to interpolation of compact operators are also given.
DOI : 10.4064/sm166-3-1
Keywords: paper establishes necessary sufficient conditions compactness operators acting between general k spaces general j spaces operators acting j space k space applications interpolation compact operators given

Fernando Cobos  1   ; Luz M. Fernández-Cabrera  2   ; Antón Martínez  3

1 Departamento de Análisis Matemático Facultad de Matemáticas Universidad Complutense de Madrid 28040 Madrid, Spain
2 Sección Departamental de Matemática Aplicada Escuela de Estadística Universidad Complutense de Madrid 28040 Madrid, Spain
3 Departamento de Matemática Aplicada E.T.S. Ingenieros Industriales Universidad de Vigo 36200 Vigo, Spain 
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     title = {Compact operators between $K$- and $J$-spaces},
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Fernando Cobos; Luz M. Fernández-Cabrera; Antón Martínez. Compact operators between $K$- and $J$-spaces. Studia Mathematica, Tome 166 (2005) no. 3, pp. 199-220. doi: 10.4064/sm166-3-1

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