Question

If the weak topology is metrizable, then the dual space has a countable algebraic basis

score 47 · Answer 1 · 2022-01-24 00:15:51

47

Views

If the weak topology is metrizable, then the dual space has a countable algebraic basis

Published on 24 Jan 2022 - 0:15

score 108 · Answer 2 · 2022-01-24 04:16:07

108

Views

How wild are weakly continuous curves in a Banach space?

Published on 24 Jan 2022 - 4:16

score 499 · Answer 3 · 2022-01-24 05:51:11

499

Views

What is the definition of a weakly compact operator from a Banach space to another?

Published on 24 Jan 2022 - 5:51

score 262 · Answer 4 · 2022-01-24 17:00:28

262

Views

Non-empty weakly open set is unbounded in norm

Published on 24 Jan 2022 - 17:00

score 78 · Answer 5 · 2022-01-25 15:38:16

78

Views

Show that $g \in L^1(0,1)$, if $S_g$ is weakly compact

Published on 25 Jan 2022 - 15:38

score 31 · Answer 6 · 2022-01-26 12:28:15

31

Views

A question on weak topology induced by a family of functionals

Published on 26 Jan 2022 - 12:28

score 209 · Answer 7 · 2022-01-26 22:07:55

209

Views

Is there some relationship between weak topology on $E$ and weak$^\star$ topology on $E^\star$?

Published on 26 Jan 2022 - 22:07

score 109 · Answer 8 · 2022-01-26 23:23:31

109

Views

If $f_n \overset{\star}{\rightharpoonup} f$ in $\sigma(E^\star, E)$, then $\|f\| \le \liminf \|f_n\|$

Published on 26 Jan 2022 - 23:23

score 103 · Answer 9 · 2022-01-27 09:35:26

103

Views

Let $\varphi:E^\star \to \mathbb R$ be linear and continuous in $\sigma(E^\star, E)$. Then there is $e \in E$ such that $\varphi = Je$

Published on 27 Jan 2022 - 9:35

score 55 · Answer 10 · 2022-01-27 12:37:09

55

Views

The weak topology is compatible with the vector space structure

Published on 27 Jan 2022 - 12:37

score 67 · Answer 11 · 2022-01-27 15:13:03

67

Views

The weak$^\star$ topology is compatible with the vector space structure

Published on 27 Jan 2022 - 15:13

score 892 · Answer 12 · 2022-01-27 17:43:18

892

Views

Weak topology and weak convergenge in probability spaces

Published on 27 Jan 2022 - 17:43

score 45 · Answer 13 · 2022-01-28 04:36:40

45

Views

Affine function on the space of Borel probability measures under weak$^*$ topology

Published on 28 Jan 2022 - 4:36

score 413 · Answer 14 · 2022-02-01 16:44:08

413

Views

A simpler proof that bounded sequence has a convergent subsequence in weak topology

Published on 01 Feb 2022 - 16:44

score 244 · Answer 15 · 2022-02-07 03:40:46

244

Views

Weak convergence in the Hilbert cube

Published on 07 Feb 2022 - 3:40

List Question

If the weak topology is metrizable, then the dual space has a countable algebraic basis

How wild are weakly continuous curves in a Banach space?

What is the definition of a weakly compact operator from a Banach space to another?

Non-empty weakly open set is unbounded in norm

Show that $g \in L^1(0,1)$, if $S_g$ is weakly compact

A question on weak topology induced by a family of functionals

Is there some relationship between weak topology on $E$ and weak$^\star$ topology on $E^\star$?

If $f_n \overset{\star}{\rightharpoonup} f$ in $\sigma(E^\star, E)$, then $\|f\| \le \liminf \|f_n\|$

Let $\varphi:E^\star \to \mathbb R$ be linear and continuous in $\sigma(E^\star, E)$. Then there is $e \in E$ such that $\varphi = Je$

The weak topology is compatible with the vector space structure

The weak$^\star$ topology is compatible with the vector space structure

Weak topology and weak convergenge in probability spaces

Affine function on the space of Borel probability measures under weak$^*$ topology

A simpler proof that bounded sequence has a convergent subsequence in weak topology

Weak convergence in the Hilbert cube

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