A+ CATEGORY SCIENTIFIC UNIT

Compact operators between $K$- and $J$-spaces

Volume 166 / 2005

Fernando Cobos, Luz M. Fernández-Cabrera, Antón Martínez Studia Mathematica 166 (2005), 199-220 MSC: Primary 46B70. DOI: 10.4064/sm166-3-1

Abstract

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.

Authors

  • Fernando CobosDepartamento de Análisis Matemático
    Facultad de Matemáticas
    Universidad Complutense de Madrid
    28040 Madrid, Spain
    e-mail
  • Luz M. Fernández-CabreraSección Departamental de
    Matemática Aplicada
    Escuela de Estadística
    Universidad Complutense de Madrid
    28040 Madrid, Spain
    e-mail
  • Antón MartínezDepartamento de Matemática Aplicada
    E.T.S. Ingenieros Industriales
    Universidad de Vigo
    36200 Vigo, Spain
    e-mail

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