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On Fréchet Montel spaces and their projective tensor product

Juan Carlos Díaz, M.Angeles Miñarro

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Source: Crossref

Published: Mar 1, 1993

DOI: 10.1017/s0305004100076003

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Source abstract

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.

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