A+ CATEGORY SCIENTIFIC UNIT

Closed operator ideals and limiting real interpolation

Volume 220 / 2014

Luz M. Fernández-Cabrera, Antón Martínez Studia Mathematica 220 (2014), 187-196 MSC: Primary 46B70; Secondary 47B10, 47L20. DOI: 10.4064/sm220-2-7

Abstract

We establish interpolation properties under limiting real methods for a class of closed ideals including weakly compact operators, Banach–Saks operators, Rosenthal operators and Asplund operators. We show that they behave much better than compact operators.

Authors

  • Luz M. Fernández-CabreraSección Departamental
    de Matemática Aplicada
    Facultad de Estudios Estadísticos
    Universidad Complutense de Madrid
    28040 Madrid, Spain
    e-mail
  • Antón MartínezDepartamento de Matemática Aplicada I
    Escuela de Ingeniería Industrial
    Universidad de Vigo
    36200 Vigo, Spain
    e-mail

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