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On Fréchet Montel spaces and their projective tensor product

Published online by Cambridge University Press:  24 October 2008

Juan Carlos Díaz  and
M.Angeles Miñarro
Juan Carlos Díaz
Affiliation:
Departamento de Matemática Aplicada, E.T.S.I. Agrónomos, 14004 Górdoba, Spain
M.Angeles Miñarro
Affiliation:
Departamento de Matemática Aplicada, E.T.S.I. Agrónomos, 14004 Górdoba, Spain
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Abstract

The main result in this note is as follows. Let E be a Fréchet Montel space which belongs to the large class of decomposable (FG)-spaces introduced by Bonet, Díaz, Taskinen and let F be a Fréchet Montel (resp. distinguished) space. Then the projective tensor product is Montel (resp. distinguished). We also give examples of Montel decomposable (FG)-spaces without an unconditional basis.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 113 , Issue 2 , March 1993 , pp. 335 - 341
Copyright
Copyright © Cambridge Philosophical Society 1993

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