Question

Can a weakly Cauchy sequence in a non-complete inner product space be unbounded?

score 155 · Answer 1 · 2026-04-16 08:40:07

155

Views

Can a weakly Cauchy sequence in a non-complete inner product space be unbounded?

Published on 16 Apr 2026 - 8:40

score 274 · Answer 2 · 2026-04-11 05:24:57

274

Views

Is the space of finite Radon measures, equipped with weak topology, locally compact?

Published on 11 Apr 2026 - 5:24

score 242 · Answer 3 · 2026-04-29 12:26:25

242

Views

metrizability of weak topology

Published on 29 Apr 2026 - 12:26

score 538 · Answer 4 · 2026-04-12 22:51:23

538

Views

Separable dual implies space is weakly metrisable

Published on 12 Apr 2026 - 22:51

score 236 · Answer 5 · 2026-05-03 11:55:52

236

Views

Sequential Banach-Alaoglu theorem for a Bochner space

Published on 03 May 2026 - 11:55

score 294 · Answer 6 · 2026-04-14 10:57:19

294

Views

Prove that weak operator topology in von Neuman Algebra implies norm topology in $C^*$ - algebra

Published on 14 Apr 2026 - 10:57

score 103 · Answer 7 · 2026-05-03 08:56:22

103

Views

Is the Unit ball of $X^{**} $ weak*- sequentially compact?

Published on 03 May 2026 - 8:56

score 78 · Answer 8 · 2026-04-15 18:27:59

78

Views

[Looking for Confirmation](X,G) is a duality, then (X,G1) is also one iff G1 is dense in G

Published on 15 Apr 2026 - 18:27

score 334 · Answer 9 · 2026-04-12 20:10:32

334

Views

weak$^*$ topology is strictly coarser than weak topology ; a remark in Brezis

Published on 12 Apr 2026 - 20:10

score 247 · Answer 10 · 2026-04-09 20:02:51

247

Views

weak topology generated by constant functions

Published on 09 Apr 2026 - 20:02

score 177 · Answer 11 · 2026-05-04 04:10:24

177

Views

Exercise on Sobolev Spaces and strong/weak convergence

Published on 04 May 2026 - 4:10

score 461 · Answer 12 · 2026-05-10 08:26:24

461

Views

How to show a normed space $X$ is reflexive if the weak topology and weak* topology on $X^*$ are equal?

Published on 10 May 2026 - 8:26

score 150 · Answer 13 · 2026-04-09 06:45:37

150

Views

Does the notion “weak convergence” coincide with that using in functional analysis?

Published on 09 Apr 2026 - 6:45

score 562 · Answer 14 · 2026-04-13 07:50:26

562

Views

Do operators from $L(X', Y')$ preserve weak*-convergence?

Published on 13 Apr 2026 - 7:50

score 80 · Answer 15 · 2026-04-14 07:34:02

80

Views

Does the set of characters, $\Omega(\mathcal{A})$, over a C${}^{\ast}$-algebra, $\mathcal{A}$, generate a weakly dense subspace of $\mathcal{A}'$?

Published on 14 Apr 2026 - 7:34

List Question

Can a weakly Cauchy sequence in a non-complete inner product space be unbounded?

Is the space of finite Radon measures, equipped with weak topology, locally compact?

metrizability of weak topology

Separable dual implies space is weakly metrisable

Sequential Banach-Alaoglu theorem for a Bochner space

Prove that weak operator topology in von Neuman Algebra implies norm topology in $C^*$ - algebra

Is the Unit ball of $X^{**} $ weak*- sequentially compact?

[Looking for Confirmation](X,G) is a duality, then (X,G1) is also one iff G1 is dense in G

weak$^*$ topology is strictly coarser than weak topology ; a remark in Brezis

weak topology generated by constant functions

Exercise on Sobolev Spaces and strong/weak convergence

How to show a normed space $X$ is reflexive if the weak topology and weak* topology on $X^*$ are equal?

Does the notion “weak convergence” coincide with that using in functional analysis?

Do operators from $L(X', Y')$ preserve weak*-convergence?

Does the set of characters, $\Omega(\mathcal{A})$, over a C${}^{\ast}$-algebra, $\mathcal{A}$, generate a weakly dense subspace of $\mathcal{A}'$?

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