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Tensor stable Fréchet and (DF)-spaces.

José BonetJuan Carlos DíazJari Taskinen — 1991

Collectanea Mathematica

In this paper we introduce and investigate classes of Fréchet and (DF)-spaces which constitute a very general frame in which the problem of topologies of Grothendieck and some related dual questions have a positive answer. Many examples of spaces in theses classes are provided, in particular spaces of sequences and functions. New counterexamples to the problems of Grothendieck are given.

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