List questions from topological-vector-spaces

Published on 11 Sep 2016 - 12:47

1.1k

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$j(X)$ weak*-dense in $X^{**}$, $ j$ is the canonical embedding

Published on 19 Sep 2016 - 13:58

744

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Density of Banach spaces

Published on 23 Sep 2016 - 2:23

245

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Proof that a locally convex space $E$ is regular

Published on 26 Mar 2026 - 1:17

899

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Metrizability of space test $\mathcal{D}(\Omega)$, and of distributions spaces $\mathcal{D}'(\Omega)$

Published on 26 Mar 2026 - 1:25

1.1k

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Continuous seminorms

Published on 26 Mar 2026 - 1:17

2k

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An infinite dimensional normed vector space is closed and bounded, but not compact

Published on 03 Oct 2016 - 1:33

1.2k

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If $\mathfrak{Y}$ is a closed subspace of a reflexive Banach space $\mathfrak{X}$, then is $\mathfrak{Y}$ reflexive too?

Published on 04 Oct 2016 - 19:19

61

Views

Locally Convex Topology on $C_b(\Omega)$

Published on 26 Mar 2026 - 1:16

321

Views

Does weak topology preserve topological vector space structure?

Published on 06 Oct 2016 - 17:50

87

Views

Non-zero $f\in X^{\ast}$ maps open sets of $X$ to open sets of scalars.

Published on 07 Oct 2016 - 19:37

89

Views

Countable additivity and continuity of measures

Published on 11 Oct 2016 - 17:46

73

Views

Proving that if $\tau_{w}$ has a countable base at $0$ then $X$ is finite.

Published on 26 Mar 2026 - 18:50

31

Views

Bounding an Unbounded operator and preserving Kernel

Published on 17 Oct 2016 - 12:08

609

Views

Cauchy sequence in vector topological and metric space

Published on 17 Oct 2016 - 14:38

List Question

Difference between the algebraic and topological dual of a topological vector space?

$j(X)$ weak*-dense in $X^{**}$, $ j$ is the canonical embedding

Density of Banach spaces

Proof that a locally convex space $E$ is regular

Metrizability of space test $\mathcal{D}(\Omega)$, and of distributions spaces $\mathcal{D}'(\Omega)$

Continuous seminorms

An infinite dimensional normed vector space is closed and bounded, but not compact

If $\mathfrak{Y}$ is a closed subspace of a reflexive Banach space $\mathfrak{X}$, then is $\mathfrak{Y}$ reflexive too?

Locally Convex Topology on $C_b(\Omega)$

Does weak topology preserve topological vector space structure?

Non-zero $f\in X^{\ast}$ maps open sets of $X$ to open sets of scalars.

Countable additivity and continuity of measures

Proving that if $\tau_{w}$ has a countable base at $0$ then $X$ is finite.

Bounding an Unbounded operator and preserving Kernel

Cauchy sequence in vector topological and metric space

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