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Subjects
46-XX Functional analysis
46Axx Topological linear spaces and related structures
46A80 Modular spaces

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Coincidence of topologies on tensor products of Köthe echelon spaces

J. Bonet, A. Defant, A. Peris, M. Ramanujan (1994)

Studia Mathematica

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.

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