Coincidence of topologies on tensor products of Köthe echelon spaces
Studia Mathematica, Tome 111 (1994) no. 3, pp. 263-281
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We investigate conditions under which the projective and the injective topologies coincide on the tensor product of two Köthe echelon or coechelon spaces. A major tool in the proof is the characterization of the επ-continuity of the tensor product of two diagonal operators from $l_p$ to $l_q$. Several sharp forms of this result are also included.
Mots-clés :
Köthe echelon spaces, topological tensor products, injective and projective topologies, tensor products of diagonal operators
Affiliations des auteurs :
J. Bonet 1 ; 1 ; 1 ; 1
@article{10_4064_sm_111_3_263_281,
author = {J. Bonet and and and },
title = {Coincidence of topologies on tensor products of {K\"othe} echelon spaces},
journal = {Studia Mathematica},
pages = {263--281},
publisher = {mathdoc},
volume = {111},
number = {3},
year = {1994},
doi = {10.4064/sm-111-3-263-281},
language = {fr},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-111-3-263-281/}
}
TY - JOUR AU - J. Bonet AU - AU - AU - TI - Coincidence of topologies on tensor products of Köthe echelon spaces JO - Studia Mathematica PY - 1994 SP - 263 EP - 281 VL - 111 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/sm-111-3-263-281/ DO - 10.4064/sm-111-3-263-281 LA - fr ID - 10_4064_sm_111_3_263_281 ER -
%0 Journal Article %A J. Bonet %A %A %A %T Coincidence of topologies on tensor products of Köthe echelon spaces %J Studia Mathematica %D 1994 %P 263-281 %V 111 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/sm-111-3-263-281/ %R 10.4064/sm-111-3-263-281 %G fr %F 10_4064_sm_111_3_263_281
J. Bonet; ; ; . Coincidence of topologies on tensor products of Köthe echelon spaces. Studia Mathematica, Tome 111 (1994) no. 3, pp. 263-281. doi: 10.4064/sm-111-3-263-281
Cité par Sources :