Closed operator ideals and limiting real interpolation

Luz M. Fernández-Cabrera; Antón Martínez

Studia Mathematica (2014)

  • Volume: 220, Issue: 2, page 187-196
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Luz M. Fernández-Cabrera, and Antón Martínez. "Closed operator ideals and limiting real interpolation." Studia Mathematica 220.2 (2014): 187-196. <http://eudml.org/doc/285745>.

@article{LuzM2014,
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.},
author = {Luz M. Fernández-Cabrera, Antón Martínez},
journal = {Studia Mathematica},
keywords = {closed operator ideals; weakly compact operators; limiting real interpolation; -functional; -functional},
language = {eng},
number = {2},
pages = {187-196},
title = {Closed operator ideals and limiting real interpolation},
url = {http://eudml.org/doc/285745},
volume = {220},
year = {2014},
}

TY - JOUR
AU - Luz M. Fernández-Cabrera
AU - Antón Martínez
TI - Closed operator ideals and limiting real interpolation
JO - Studia Mathematica
PY - 2014
VL - 220
IS - 2
SP - 187
EP - 196
AB - 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.
LA - eng
KW - closed operator ideals; weakly compact operators; limiting real interpolation; -functional; -functional
UR - http://eudml.org/doc/285745
ER -

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