List questions from topological-vector-spaces

Published on 21 Jul 2020 - 2:16

140

Views

The relationship between LCTVS and projective limit of a projective family of norm spaces.

Published on 25 Mar 2026 - 22:05

176

Views

Any linear transformation between two finite dimensional topological vector spaces is continuous.

Published on 21 Jul 2020 - 14:40

511

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Bounded linear map which is not continuous

Published on 22 Jul 2020 - 0:07

245

Views

All norm in a finite dimensional topological space are equivalent

Published on 22 Jul 2020 - 9:56

83

Views

Prove that the functional in $C_c^0(\Omega)$ is a Radon measure

Published on 25 Jul 2020 - 0:30

114

Views

Characterization of the continuity of a linear map $u:A \subset E \to F$ defined in a subspace $A$ of an $LF-$space $E$

Published on 25 Jul 2020 - 18:33

50

Views

${}^tJ:\mathcal{D}'(\Omega') \to \mathcal{D}'(\Omega)$ is not onto

Published on 29 Jul 2020 - 19:41

49

Views

$J^{-1}:\operatorname{Im}(J)\subset C_c^\infty(\Omega') \to C_c^\infty(\Omega)$ is not continuous

Published on 30 Jul 2020 - 14:56

85

Views

Frechet topology finer than a given locally convex topology

Published on 26 Mar 2026 - 1:16

41

Views

Are these two separation results equivalent?

Published on 30 Jul 2020 - 22:00

81

Views

Continuity and measurability of differential operator

Published on 07 Jul 2016 - 9:08

100

Views

Closure of an operator

Published on 25 Mar 2026 - 14:39

265

Views

Continuous semi-norms on subspace

Published on 26 Mar 2026 - 1:17

1.5k

Views

Why isn't $\ell^p$ locally convex for $0<p<1$?

Published on 22 Jul 2016 - 11:53

List Question

A closed set and compact set in topological vector space

The relationship between LCTVS and projective limit of a projective family of norm spaces.

Any linear transformation between two finite dimensional topological vector spaces is continuous.

Bounded linear map which is not continuous

All norm in a finite dimensional topological space are equivalent

Prove that the functional in $C_c^0(\Omega)$ is a Radon measure

Characterization of the continuity of a linear map $u:A \subset E \to F$ defined in a subspace $A$ of an $LF-$space $E$

${}^tJ:\mathcal{D}'(\Omega') \to \mathcal{D}'(\Omega)$ is not onto

$J^{-1}:\operatorname{Im}(J)\subset C_c^\infty(\Omega') \to C_c^\infty(\Omega)$ is not continuous

Frechet topology finer than a given locally convex topology

Are these two separation results equivalent?

Continuity and measurability of differential operator

Closure of an operator

Continuous semi-norms on subspace

Why isn't $\ell^p$ locally convex for $0<p<1$?

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