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Locally convex spaces with fundamental sequences

Published online by Cambridge University Press:  18 May 2009

Marc De Wilde
Marc De Wilde
Affiliation:
University of Liége, Liége, Belgium
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After Dieudonné [3], many authors have considered locally convex topological vector spaces that admit a fundamental sequence of compact, precompact,… subsets. Their work has been essentially to identify them as strong duals of Fréchet-Montel spaces, under suitable additional assumptions (barrelledness or evaluability). However, it seems that these spaces have never been characterized without additional assumptions. That is the aim of the present paper.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 14 , Issue 1 , February 1973 , pp. 96 - 100
Copyright
Copyright © Glasgow Mathematical Journal Trust 1973

References

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