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Results tagged with locally-convex-spaces
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user 18936
Topological vector space with a locally convex topology, i.e. induced by a system of seminorms.
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Local completion of bornological space
I recently stumbled across this old publication which defines the local completion of a Hausdorff locally convex space.
The construction is as follows:
A Hausdorff locally convex space $E$ is locally …
- 651
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Accepted
Local completion of bornological space
It turns out, that the above is actually rather simple. Clearly, $E$ is dense in $F$ with its subspace topology from $\widetilde{E}$. Furthermore, since $E$ is Mackey, it is well-known that its comple …
- 651