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Results tagged with locally-convex-spaces
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user 11211
Topological vector space with a locally convex topology, i.e. induced by a system of seminorms.
8
votes
2
answers
357
views
Can smoothness of curves into a convenient locally convex vector space be tested with just a...
Let $E$ be a (Hausdorff) locally convex vector space (from now on just "lcs" for short). We say that $E$ is convenient (also called locally complete, Mackey-complete or $c^\infty$-complete) if, given …
- 7,817
5
votes
2
answers
667
views
Is every Montel locally convex vector space compactly generated?
Let $X$ be a Hausdorff locally convex vector space. Recall (my reference is the book of H. Jarchow, Locally Convex Spaces. B.G. Teubner, 1981) that we say that $X$ is a semi-Montel space if every boun …
- 7,817
5
votes
2
answers
241
views
Extension of Valdivia-Vogt isomorphism from $\mathscr{D}(K)$ to $\mathscr{E}'(K)$
Let $M$ be a $d$-dimensional (say, Hausdorff, paracompact, connected and oriented) smooth manifold, and $K\subset M$ compact with $\mathring{K}\neq\varnothing$. M. Valdivia has shown (based on previou …
- 7,817