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ArticleOriginal scientific text

Title

Coincidence of topologies on tensor products of Köthe echelon spaces

Authors 1, 2, 1, 3

Affiliations

  1. Departamento de Matemática Aplicada, Universidad Politécnica de Valencia, E-46071 Valencia, Spain
  2. FB Mathematik, Universität Oldenburg, D-26121 Oldenburg, Germany
  3. Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109, U.S.A.

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 lp to lq. Several sharp forms of this result are also included.

Keywords

ENG
Köthe echelon spaces, topological tensor products, injective and projective topologies, tensor products of diagonal operators

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Studia Mathematica
1994/111/3
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Pages:
263-281
Main language of publication
English
Received
1993-11-08
Accepted
1994-01-31
Published
1994
Exact and natural sciences