Question

Measurable linear functionals on a B-space are continuous?

score 40 · Answer 1 · 2022-09-27 07:48:26

40

Views

Measurable linear functionals on a B-space are continuous?

Published on 27 Sep 2022 - 7:48

score 33 · Answer 2 · 2022-10-06 11:32:44

33

Views

Set of probability measures with support in open $D \subset \mathbb{R}$ is open in the weak topology?

Published on 06 Oct 2022 - 11:32

score 173 · Answer 3 · 2022-10-06 14:29:46

173

Views

Let $E$ be a separable Banach space. Then ${E^{\star}}$ is metrizable in the weak$^{\star}$ topology $\sigma\left(E^{\star}, E\right)$

Published on 06 Oct 2022 - 14:29

score 72 · Answer 4 · 2022-10-06 16:48:18

72

Views

Does Brezis's Theorem 3.28. hold if we replace $B_{E^\star}$ by a non-empty bounded subset of $E^\star$?

Published on 06 Oct 2022 - 16:48

score 107 · Answer 5 · 2022-10-06 18:10:16

107

Views

Confusion about the proof of Theorem 3.28. in Brezis's Functional Analysis

Published on 06 Oct 2022 - 18:10

score 85 · Answer 6 · 2022-10-07 04:02:59

85

Views

Brezis's proof of Theorem 3.28: the existence of bounded neighborhood in weak$^\star$ topology

Published on 07 Oct 2022 - 4:02

score 48 · Answer 7 · 2022-10-07 14:32:41

48

Views

Generalize Theorem 3.28. in Brezis's Functional Analysis

Published on 07 Oct 2022 - 14:32

score 85 · Answer 8 · 2026-03-25 17:31:58

85

Views

Relationship between weak and nuclear topologies

Published on 25 Mar 2026 - 17:31

score 30 · Answer 9 · 2022-10-21 10:27:43

30

Views

Reconcile the weak and weak$^*$ topologies of $\mathcal P(X)$

Published on 21 Oct 2022 - 10:27

score 102 · Answer 10 · 2022-10-21 11:52:11

102

Views

Does the image of a weak-* convergent sequence under a compact operator converge strongly?

Published on 21 Oct 2022 - 11:52

score 90 · Answer 11 · 2022-10-23 12:10:47

90

Views

Product of two sequences that converge weakly

Published on 23 Oct 2022 - 12:10

score 280 · Answer 12 · 2022-10-28 20:02:02

280

Views

Making sense of weak topology and set of continuous maps

Published on 28 Oct 2022 - 20:02

score 44 · Answer 13 · 2026-03-27 06:12:35

44

Views

The bijection in Riesz–Markov–Kakutani theorem is a homeomorphism w.r.t. both norm and weak$^*$ topologies

Published on 27 Mar 2026 - 6:12

score 135 · Answer 14 · 2022-11-02 13:54:00

135

Views

If $X$ is locally compact and $\mathcal C_c (X)$ is separable, then $X$ is separable

Published on 02 Nov 2022 - 13:54

score 71 · Answer 15 · 2026-03-25 17:42:16

71

Views

Does $\mu_n \overset{1}{\rightharpoonup} \mu$ necessarily imply $\mu_n \overset{2}{\rightharpoonup} \mu$?

Published on 25 Mar 2026 - 17:42

List Question

Measurable linear functionals on a B-space are continuous?

Set of probability measures with support in open $D \subset \mathbb{R}$ is open in the weak topology?

Let $E$ be a separable Banach space. Then ${E^{\star}}$ is metrizable in the weak$^{\star}$ topology $\sigma\left(E^{\star}, E\right)$

Does Brezis's Theorem 3.28. hold if we replace $B_{E^\star}$ by a non-empty bounded subset of $E^\star$?

Confusion about the proof of Theorem 3.28. in Brezis's Functional Analysis

Brezis's proof of Theorem 3.28: the existence of bounded neighborhood in weak$^\star$ topology

Generalize Theorem 3.28. in Brezis's Functional Analysis

Relationship between weak and nuclear topologies

Reconcile the weak and weak$^*$ topologies of $\mathcal P(X)$

Does the image of a weak-* convergent sequence under a compact operator converge strongly?

Product of two sequences that converge weakly

Making sense of weak topology and set of continuous maps

The bijection in Riesz–Markov–Kakutani theorem is a homeomorphism w.r.t. both norm and weak$^*$ topologies

If $X$ is locally compact and $\mathcal C_c (X)$ is separable, then $X$ is separable

Does $\mu_n \overset{1}{\rightharpoonup} \mu$ necessarily imply $\mu_n \overset{2}{\rightharpoonup} \mu$?

Trending Questions

Popular # Hahtags

Popular Questions