List questions from weak-convergence

Published on 03 Jun 2018 - 9:24

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Convergence in distribution implies convergence of $L^p$ norms under additional assumption

Published on 08 Jun 2018 - 3:12

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Compactness of operators and norming sets

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$X_n$ converges to $X$ in distribution", is equivalent to...

Published on 13 Jun 2018 - 8:57

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Exercise on Sobolev Spaces and strong/weak convergence

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$\limsup P[X_n\leq x]\leq P[X\leq x]$

Published on 13 Jun 2018 - 15:46

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Counterexample $X_n \to X$ in distribution but $\lim_{n \to \infty} E[ \log(1+X_n) ]\neq E[ \log(1+X) ]$

Published on 13 Jun 2018 - 19:02

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Convergence in distribution under special condition

Published on 15 Jun 2018 - 17:17

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Sequence of normal random variables converging in distribution

Published on 16 Jun 2018 - 13:13

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Book of Functional analysis

Published on 21 Mar 2026 - 19:36

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Show that every closed linear subspace $ \ Y \ $ of a Banach space $ \ X \ $ is weakly sequentially closed

Published on 24 Jun 2018 - 6:47

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Convergence in coordinates vs convergence in norm

Published on 24 Jun 2018 - 8:47

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

Published on 25 Mar 2026 - 6:10

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Weak convergence and infinite square mean

Published on 27 Jun 2018 - 1:44

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Almost everywhere convergence and $L^1$ convergence

Published on 28 Jun 2018 - 10:24

List Question

sequence of random variables with density function

Convergence in distribution implies convergence of $L^p$ norms under additional assumption

Compactness of operators and norming sets

$X_n$ converges to $X$ in distribution", is equivalent to...

Exercise on Sobolev Spaces and strong/weak convergence

$\limsup P[X_n\leq x]\leq P[X\leq x]$

Counterexample $X_n \to X$ in distribution but $\lim_{n \to \infty} E[ \log(1+X_n) ]\neq E[ \log(1+X) ]$

Convergence in distribution under special condition

Sequence of normal random variables converging in distribution

Book of Functional analysis

Show that every closed linear subspace $ \ Y \ $ of a Banach space $ \ X \ $ is weakly sequentially closed

Convergence in coordinates vs convergence in norm

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

Weak convergence and infinite square mean

Almost everywhere convergence and $L^1$ convergence

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