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Results tagged with locally-convex-spaces
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user 12643
Topological vector space with a locally convex topology, i.e. induced by a system of seminorms.
8
votes
Are smooth functions tame?
Kofi: "... what if $M$ is an open subset of $\mathbb R^n$?"
Kofi has already accepted Peter Michor's answer, but anyway I post the following to give a different argument for seeing that $C^\infty(\O …
- 3,584
5
votes
Is every Montel locally convex vector space compactly generated?
An(other) example of a Montel space which is not compactly generated is $\kern.4mm\mathscr D\kern.4mm(\kern.4mm\mathbb R\kern.4mm)$ . This follows from Theorem 6.1.4(iii) and Proposition 6.2.8(ii) on …
- 3,584
1
vote
Can smoothness of curves into a convenient locally convex vector space be tested with just a...
$\def\sp{\kern.4mm}\def\bbR{\mathbb R}$A previous idea for getting a counterexample in the reflexive Banach case is here, and a modification of it is in the following: With $1<p<+\infty$ let $c:\bbR\t …
- 3,584
0
votes
Pull-back of generalized functions
I deleted my previous answer since "googling" the book "Geometric Asymptotics" by Guillemin and Sternberg revealed that my provisions there were not in accordance with the presentation in the book. Ch …
- 3,584