On interpolation of tensor products of Banach spaces.

Andreas Defant; Mieczyslaw Mastylo; Carsten Michels

RACSAM (2003)

  • Volume: 97, Issue: 2, page 209-221
  • ISSN: 1578-7303

Abstract

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For the complex interpolation method, Kouba proved an important interpolation formula for tensor products of Banach spaces. We give a partial extension of this formula in the injective case for the Gustavsson?Peetre method of interpolation within the setting of Banach function spaces.

How to cite

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Defant, Andreas, Mastylo, Mieczyslaw, and Michels, Carsten. "On interpolation of tensor products of Banach spaces.." RACSAM 97.2 (2003): 209-221. <http://eudml.org/doc/40970>.

@article{Defant2003,
abstract = {For the complex interpolation method, Kouba proved an important interpolation formula for tensor products of Banach spaces. We give a partial extension of this formula in the injective case for the Gustavsson?Peetre method of interpolation within the setting of Banach function spaces.},
author = {Defant, Andreas, Mastylo, Mieczyslaw, Michels, Carsten},
journal = {RACSAM},
keywords = {Espacios de Banach; Espacios de funciones medibles; Interpolación; Producto tensorial; real interpolation method; Riesz-Thorin theorem; summing operators; upper and lower -estimates; Calderón-Lozanovski method},
language = {eng},
number = {2},
pages = {209-221},
title = {On interpolation of tensor products of Banach spaces.},
url = {http://eudml.org/doc/40970},
volume = {97},
year = {2003},
}

TY - JOUR
AU - Defant, Andreas
AU - Mastylo, Mieczyslaw
AU - Michels, Carsten
TI - On interpolation of tensor products of Banach spaces.
JO - RACSAM
PY - 2003
VL - 97
IS - 2
SP - 209
EP - 221
AB - For the complex interpolation method, Kouba proved an important interpolation formula for tensor products of Banach spaces. We give a partial extension of this formula in the injective case for the Gustavsson?Peetre method of interpolation within the setting of Banach function spaces.
LA - eng
KW - Espacios de Banach; Espacios de funciones medibles; Interpolación; Producto tensorial; real interpolation method; Riesz-Thorin theorem; summing operators; upper and lower -estimates; Calderón-Lozanovski method
UR - http://eudml.org/doc/40970
ER -

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