Coincidence of topologies on tensor products of Köthe echelon spaces
Studia Mathematica, Tome 111 (1994) no. 3, pp. 263-281
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
@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},
year = {1994},
volume = {111},
number = {3},
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 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 -
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
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