Coincidence of topologies on tensor products of Köthe echelon spaces

• Autorzy: J. Bonet , A. Defant , A. Peris , M. S. Ramanujan
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

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

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces
• 46M05: Tensor products
• 46A32: Spaces of linear operators; topological tensor products; approximation properties
• 46A45: Sequence spaces (including K\"othe sequence spaces)
• 46B45: Banach sequence spaces
• 46B28: Spaces of operators; tensor products; approximation properties

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1994
• Tom: 111
• Numer: 3
• Strony: 263-281

Daty

wydano

1994

otrzymano

1993-11-08

poprawiono

1994-01-31

Twórcy

autor

J. Bonet

• Departamento de Matemática Aplicada, Universidad Politécnica de Valencia, E-46071 Valencia, Spain

autor

A. Defant

• FB Mathematik, Universität Oldenburg, D-26121 Oldenburg, Germany

autor

A. Peris

• Departamento de Matemática Aplicada, Universidad Politécnica de Valencia, E-46071 Valencia, Spain

autor

M. S. Ramanujan

• Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109, U.S.A.

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