On the Relationship between Interpolation of Banach Algebras and Interpolation of Bilinear Operators
Canadian mathematical bulletin, Tome 53 (2010) no. 1, pp. 51-57
Voir la notice de l'article provenant de la source Cambridge
We show that if the general real method ${{\left( \cdot \,,\,\cdot\right)}_{\Gamma }}$ preserves the Banach-algebra structure, then a bilinear interpolation theorem holds for ${{\left( \cdot \,,\,\cdot\right)}_{\Gamma }}$ .
Mots-clés :
46B70, 46M35, 46H05, real interpolation, bilinear operators, Banach algebras
Cobos, Fernando; Fernández-Cabrera, Luz M. On the Relationship between Interpolation of Banach Algebras and Interpolation of Bilinear Operators. Canadian mathematical bulletin, Tome 53 (2010) no. 1, pp. 51-57. doi: 10.4153/CMB-2010-009-1
@article{10_4153_CMB_2010_009_1,
author = {Cobos, Fernando and Fern\'andez-Cabrera, Luz M.},
title = {On the {Relationship} between {Interpolation} of {Banach} {Algebras} and {Interpolation} of {Bilinear} {Operators}},
journal = {Canadian mathematical bulletin},
pages = {51--57},
year = {2010},
volume = {53},
number = {1},
doi = {10.4153/CMB-2010-009-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-009-1/}
}
TY - JOUR AU - Cobos, Fernando AU - Fernández-Cabrera, Luz M. TI - On the Relationship between Interpolation of Banach Algebras and Interpolation of Bilinear Operators JO - Canadian mathematical bulletin PY - 2010 SP - 51 EP - 57 VL - 53 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-009-1/ DO - 10.4153/CMB-2010-009-1 ID - 10_4153_CMB_2010_009_1 ER -
%0 Journal Article %A Cobos, Fernando %A Fernández-Cabrera, Luz M. %T On the Relationship between Interpolation of Banach Algebras and Interpolation of Bilinear Operators %J Canadian mathematical bulletin %D 2010 %P 51-57 %V 53 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-009-1/ %R 10.4153/CMB-2010-009-1 %F 10_4153_CMB_2010_009_1
Cité par Sources :