Geodesic
Compact operators between $K$- and $J$-spaces
Fernando Cobos1 ; Luz M. Fernández-Cabrera2 ; Antón Martínez3
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
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},
     journal = {Studia Mathematica},
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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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