On a result of Peetre about interpolation of operator spaces

Fernando Cobos; Teresa Signes

Publicacions Matemàtiques (2000)

  • Volume: 44, Issue: 2, page 457-481
  • ISSN: 0214-1493

Abstract

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We establish interpolation formulæ for operator spaces that are components of a given quasi-normed operator ideal. Sometimes we assume that one of the couples involved is quasi-linearizable, some other times we assume injectivity or surjectivity in the ideal. We also show the necessity of these suppositions.

How to cite

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Cobos, Fernando, and Signes, Teresa. "On a result of Peetre about interpolation of operator spaces." Publicacions Matemàtiques 44.2 (2000): 457-481. <http://eudml.org/doc/41400>.

@article{Cobos2000,
abstract = {We establish interpolation formulæ for operator spaces that are components of a given quasi-normed operator ideal. Sometimes we assume that one of the couples involved is quasi-linearizable, some other times we assume injectivity or surjectivity in the ideal. We also show the necessity of these suppositions.},
author = {Cobos, Fernando, Signes, Teresa},
journal = {Publicacions Matemàtiques},
keywords = {Interpolación; Ideal de operadores; Espacios de Banach; real interpolation; quasi-normed operator ideals; tensor product; regularity; linearizability; injectivity; surjectivity; inclusion relations},
language = {eng},
number = {2},
pages = {457-481},
title = {On a result of Peetre about interpolation of operator spaces},
url = {http://eudml.org/doc/41400},
volume = {44},
year = {2000},
}

TY - JOUR
AU - Cobos, Fernando
AU - Signes, Teresa
TI - On a result of Peetre about interpolation of operator spaces
JO - Publicacions Matemàtiques
PY - 2000
VL - 44
IS - 2
SP - 457
EP - 481
AB - We establish interpolation formulæ for operator spaces that are components of a given quasi-normed operator ideal. Sometimes we assume that one of the couples involved is quasi-linearizable, some other times we assume injectivity or surjectivity in the ideal. We also show the necessity of these suppositions.
LA - eng
KW - Interpolación; Ideal de operadores; Espacios de Banach; real interpolation; quasi-normed operator ideals; tensor product; regularity; linearizability; injectivity; surjectivity; inclusion relations
UR - http://eudml.org/doc/41400
ER -

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