List questions from weak-topology

Published on 15 Aug 2021 - 10:02

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Is this particular subset of $L^{1}([0,1])$ a weakly compact set?

Published on 26 Aug 2021 - 19:11

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$X_n \rightarrow X$ in distribution does not imply $(Y,X_n) \rightarrow (Y,X)$ in distribution

Published on 28 Aug 2021 - 14:50

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Why is infinite dimensional space with weak topology not locally bounded (Rudin 3.11)?

Published on 30 Aug 2021 - 1:25

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On weak and weak-* topology or a normed vector space

Published on 10 Sep 2021 - 19:01

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Question 3.4 from Brezis' book of Functional Analysis

Published on 26 Sep 2021 - 23:45

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Question 3.7 from Brezis' book of Functional Analysis

Published on 29 Sep 2021 - 23:58

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Question 3.8 from Brezis' book of Functional Analysis

Published on 23 Feb 2026 - 8:39

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Doubt in proof of continuity in weak topology

Published on 05 Oct 2021 - 12:53

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The cluster point set of $\{\frac{1}{n}\sum_{k=0}^{n-1} \delta_{T^kx}\}$ is connected

Published on 12 Oct 2021 - 6:55

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Prove $\{f(x_0):f\in A\}$ is closed interval for $A=\{f\in X^*:\|f\|\leq\beta,|f(x_i)|\leq\alpha_i\ \forall i\in I\}$

Published on 19 Oct 2021 - 10:14

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Brezis' Functional analysis 3.27 item 2.

Published on 26 Mar 2026 - 9:49

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Brezis Exercise 3.13 item 3.

Published on 23 Feb 2026 - 21:33

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Prove that $\sigma(X,F_1)= \sigma(X,F_2)$

Published on 17 Mar 2026 - 18:39

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Some intuition about weak topology

Published on 28 Oct 2021 - 17:59

List Question

Hahn Banach separation theorem and weak* topology

Is this particular subset of $L^{1}([0,1])$ a weakly compact set?

$X_n \rightarrow X$ in distribution does not imply $(Y,X_n) \rightarrow (Y,X)$ in distribution

Why is infinite dimensional space with weak topology not locally bounded (Rudin 3.11)?

On weak and weak-* topology or a normed vector space

Question 3.4 from Brezis' book of Functional Analysis

Question 3.7 from Brezis' book of Functional Analysis

Question 3.8 from Brezis' book of Functional Analysis

Doubt in proof of continuity in weak topology

The cluster point set of $\{\frac{1}{n}\sum_{k=0}^{n-1} \delta_{T^kx}\}$ is connected

Prove $\{f(x_0):f\in A\}$ is closed interval for $A=\{f\in X^*:\|f\|\leq\beta,|f(x_i)|\leq\alpha_i\ \forall i\in I\}$

Brezis' Functional analysis 3.27 item 2.

Brezis Exercise 3.13 item 3.

Prove that $\sigma(X,F_1)= \sigma(X,F_2)$

Some intuition about weak topology

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