The free locally convex space L(s) over a convergent sequence s is not a Mackey space
classification
🧮 math.GN
keywords
mathbfspacemackeyconvergentconvexfreelocallysequence
read the original abstract
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].
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