# Coincidence of topologies on tensor products of Köthe echelon spaces

J. Bonet; A. Defant; A. Peris; M. Ramanujan

Studia Mathematica (1994)

- Volume: 111, Issue: 3, page 263-281
- ISSN: 0039-3223

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topBonet, J., et al. "Coincidence of topologies on tensor products of Köthe echelon spaces." Studia Mathematica 111.3 (1994): 263-281. <http://eudml.org/doc/216132>.

@article{Bonet1994,

abstract = {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.},

author = {Bonet, J., Defant, A., Peris, A., Ramanujan, M.},

journal = {Studia Mathematica},

keywords = {Köthe echelon spaces; topological tensor products; injective and projective topologies; tensor products of diagonal operators; projective and injective topologies; tensor product of two Köthe echelon or coechelon spaces; -continuity of the tensor product of two diagonal operators},

language = {eng},

number = {3},

pages = {263-281},

title = {Coincidence of topologies on tensor products of Köthe echelon spaces},

url = {http://eudml.org/doc/216132},

volume = {111},

year = {1994},

}

TY - JOUR

AU - Bonet, J.

AU - Defant, A.

AU - Peris, A.

AU - Ramanujan, M.

TI - Coincidence of topologies on tensor products of Köthe echelon spaces

JO - Studia Mathematica

PY - 1994

VL - 111

IS - 3

SP - 263

EP - 281

AB - 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.

LA - eng

KW - Köthe echelon spaces; topological tensor products; injective and projective topologies; tensor products of diagonal operators; projective and injective topologies; tensor product of two Köthe echelon or coechelon spaces; -continuity of the tensor product of two diagonal operators

UR - http://eudml.org/doc/216132

ER -

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