List questions from weak-convergence

506

Views

Does weak $ L^2$ convergence $+$ (uniform) $H^1$ boundedness imply weak $H^1$ convergence on bounded domains?

Published on 25 Jul 2019 - 9:50

193

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Does $T$ bounded linear operator necessarily imply weak sequential continuity

Published on 26 Jul 2019 - 10:34

163

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Intuition: Why is weak/weak sequential compactness more strict

Published on 26 Jul 2019 - 13:45

63

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Sequence of random variable with $\lim_{n \rightarrow \infty}\mathbb{E}[X_n^2] = 0$

Published on 27 Jul 2019 - 9:54

45

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Construct dependent random variables which converge to standard normal

Published on 27 Jul 2019 - 21:01

677

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Application of the Arzela-Ascoli Theorem

Published on 28 Jul 2019 - 6:35

116

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Convergence almost surely implies convergence in probability

Published on 28 Jul 2019 - 12:00

41

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Strong $L^p$ convergence and weak $H^{1,p}$ convergence

Published on 28 Jul 2019 - 14:04

243

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$P_n \Rightarrow P$ if and only if $P_n\{x\} \to P\{x\}$ for all $x$ if $S$ is a countable discrete space.

Published on 28 Jul 2019 - 21:11

60

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weak-converging sequence of measures with ascending supports

Published on 30 Jul 2019 - 15:39

51

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On convergence of expectations

Published on 30 Jul 2019 - 18:33

54

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A nonexample of relatively compact probability measure on $R$ from Billingsley's Convergence of probability measures.

Published on 01 Aug 2019 - 0:37

29

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When do the subdifferentials preserve limits?

Published on 03 Aug 2019 - 11:57

68

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Weak Convergence in $H^{1}_{0,\sigma}$

Published on 03 Aug 2019 - 12:43

145

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Equivalence between different bases of weak convergence of measure

Published on 25 Mar 2026 - 14:34

List Question

Does weak $ L^2$ convergence $+$ (uniform) $H^1$ boundedness imply weak $H^1$ convergence on bounded domains?

Does $T$ bounded linear operator necessarily imply weak sequential continuity

Intuition: Why is weak/weak sequential compactness more strict

Sequence of random variable with $\lim_{n \rightarrow \infty}\mathbb{E}[X_n^2] = 0$

Construct dependent random variables which converge to standard normal

Application of the Arzela-Ascoli Theorem

Convergence almost surely implies convergence in probability

Strong $L^p$ convergence and weak $H^{1,p}$ convergence

$P_n \Rightarrow P$ if and only if $P_n\{x\} \to P\{x\}$ for all $x$ if $S$ is a countable discrete space.

weak-converging sequence of measures with ascending supports

On convergence of expectations

A nonexample of relatively compact probability measure on $R$ from Billingsley's Convergence of probability measures.

When do the subdifferentials preserve limits?

Weak Convergence in $H^{1}_{0,\sigma}$

Equivalence between different bases of weak convergence of measure

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