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arXiv:1710.01759 [math.GN]AbstractReferencesReviewsResources

The free locally convex space $L(\mathbf{s})$ over a convergent sequence $\mathbf{s}$ is not a Mackey space

Saak Gabriyelyan

Published 2017-10-04Version 1

We show that the free locally convex space $L(\mathbf{s})$ over a convergent sequence $\mathbf{s}$ is not a Mackey space. Consequently $L(\mathbf{s})$ is not a Mackey group that answers negatively a question posed in [4].

Categories: math.GN
Subjects: 46A03, 54A10
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