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Results tagged with locally-convex-spaces
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user 49628
Topological vector space with a locally convex topology, i.e. induced by a system of seminorms.
6
votes
When sequentially continuous linear functional is continuous?
It is continuous even for the strong topology. This follows from general locally convex space theory, in particular from the fact that the space of smooth functions is a nuclear Fréchet space. Its d …
- 454
4
votes
Accepted
Linear operators on distributions with different topologies
The answer to all of your questions is no. This follows from the simple fact that if a linear mapping from a locally convex space $E$ into a normed space $F$ is continuous for the weak topology on $E …
- 454