Question

Equivalent condition for a seminorm on a locally convex topological vector space to be continuous

score 95 · Answer 1 · 2026-03-27 21:18:02

95

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Equivalent condition for a seminorm on a locally convex topological vector space to be continuous

Published on 27 Mar 2026 - 21:18

score 68 · Answer 2 · 2026-03-27 21:23:00

68

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Analytic basis for a topology generated by seminorms

Published on 27 Mar 2026 - 21:23

score 51 · Answer 3 · 2020-12-07 19:06:05

51

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Two different notations for Heine-Borel property

Published on 07 Dec 2020 - 19:06

score 45 · Answer 4 · 2026-02-23 15:33:07

45

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Conclusion about corollary V.6.1 in Schaeffer & Wolff (Topological Vector Spaces 2nd edition)

Published on 23 Feb 2026 - 15:33

score 147 · Answer 5 · 2026-03-27 21:18:07

147

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(Uniform) continuity of a nonlinear function on a locally convex topological vector space

Published on 27 Mar 2026 - 21:18

score 40 · Answer 6 · 2026-03-27 21:18:08

40

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Analytic subbasis for a locally convex topology

Published on 27 Mar 2026 - 21:18

score 293 · Answer 7 · 2020-12-20 09:26:32

293

Views

If a strictly convex function attains a minimum on the unit ball, does it attain a minimum on every weak*-compact set?

Published on 20 Dec 2020 - 9:26

score 158 · Answer 8 · 2020-12-22 10:29:31

158

Views

Do the topologies of pointwise and compact convergence coincide on equicontinuous subsets?

Published on 22 Dec 2020 - 10:29

score 118 · Answer 9 · 2026-02-23 21:16:43

118

Views

Show that this family is equicontinuous at $0$

Published on 23 Feb 2026 - 21:16

score 560 · Answer 10 · 2020-12-31 10:57:11

560

Views

If $W$ is a neighborhood of $0$ in $X$ then there is a neighborhood $U$ of $0$ which is symmetric and which satisfies $U+U\subset W$

Published on 31 Dec 2020 - 10:57

score 613 · Answer 11 · 2026-03-30 20:42:39

613

Views

Weak and weak$^*$-closure of convex set.

Published on 30 Mar 2026 - 20:42

score 233 · Answer 12 · 2020-12-31 18:47:30

233

Views

The Axiom of Choice implies that every topological vector space has a balanced base and every locally convex space has a balanced convex local base.

Published on 31 Dec 2020 - 18:47

score 163 · Answer 13 · 2020-12-31 21:39:24

163

Views

$\sigma$-weak closure of $B(H) \otimes B(K)$.

Published on 31 Dec 2020 - 21:39

score 31 · Answer 14 · 2021-01-01 16:53:25

31

Views

Characterisation of surjectivity of a linear application in finite dimension with open sets

Published on 01 Jan 2021 - 16:53

score 179 · Answer 15 · 2021-01-01 19:24:53

179

Views

Equivalence between two definition of bounded set in a metric and normed space.

Published on 01 Jan 2021 - 19:24

List Question

Equivalent condition for a seminorm on a locally convex topological vector space to be continuous

Analytic basis for a topology generated by seminorms

Two different notations for Heine-Borel property

Conclusion about corollary V.6.1 in Schaeffer & Wolff (Topological Vector Spaces 2nd edition)

(Uniform) continuity of a nonlinear function on a locally convex topological vector space

Analytic subbasis for a locally convex topology

If a strictly convex function attains a minimum on the unit ball, does it attain a minimum on every weak*-compact set?

Do the topologies of pointwise and compact convergence coincide on equicontinuous subsets?

Show that this family is equicontinuous at $0$

If $W$ is a neighborhood of $0$ in $X$ then there is a neighborhood $U$ of $0$ which is symmetric and which satisfies $U+U\subset W$

Weak and weak$^*$-closure of convex set.

The Axiom of Choice implies that every topological vector space has a balanced base and every locally convex space has a balanced convex local base.

$\sigma$-weak closure of $B(H) \otimes B(K)$.

Characterisation of surjectivity of a linear application in finite dimension with open sets

Equivalence between two definition of bounded set in a metric and normed space.

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