List questions from weak-convergence

Published on 01 Jul 2019 - 0:42

226

Views

Weak Convergence of sequences of functions.

Published on 02 Jul 2019 - 20:54

353

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Convex 1-Lipschitz functions for convergence in distribution

Published on 04 Jul 2019 - 20:03

61

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On weakly unconditional convergence

Published on 09 Jul 2019 - 7:17

38

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Rigorous definition of convergence in $H^{-1}(\mathbb{R})$

Published on 26 Mar 2026 - 7:34

2.4k

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Does component-wise convergence in distribution imply the random vector converges in distribution?

Published on 15 Jul 2019 - 12:15

97

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Convergence of a sequence from one space into a limit that is in the other space

Published on 25 Mar 2026 - 7:11

45

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Proving the $x \mapsto \sum_{n}x_{n}$ is not weak-* sequentially continuous on $\ell^{1}$

Published on 16 Jul 2019 - 17:32

1.3k

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Proof: weakly convergent sequence is bounded

Published on 25 Mar 2026 - 12:52

52

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Weak limit of continuous operator

Published on 25 Mar 2026 - 14:32

71

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Showing that $x_{n}$ does not converge weakly to $0$ in $L^{\infty}([0,1])$

Published on 20 Jul 2019 - 23:30

66

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Random variables converging to a density in mean

Published on 21 Jul 2019 - 16:38

57

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Approximating the Brownian excursion area

Published on 28 Mar 2026 - 11:53

15

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Continuity issue for convergence to functional of Brownian motion

Published on 06 Mar 2026 - 5:26

307

Views

For independent r.v. the $\liminf X_n$ is almost surely constant

Published on 25 Mar 2026 - 22:04

List Question

Suffice condition for Weak convergence in $L^2$

Weak Convergence of sequences of functions.

Convex 1-Lipschitz functions for convergence in distribution

On weakly unconditional convergence

Rigorous definition of convergence in $H^{-1}(\mathbb{R})$

Does component-wise convergence in distribution imply the random vector converges in distribution?

Convergence of a sequence from one space into a limit that is in the other space

Proving the $x \mapsto \sum_{n}x_{n}$ is not weak-* sequentially continuous on $\ell^{1}$

Proof: weakly convergent sequence is bounded

Weak limit of continuous operator

Showing that $x_{n}$ does not converge weakly to $0$ in $L^{\infty}([0,1])$

Random variables converging to a density in mean

Approximating the Brownian excursion area

Continuity issue for convergence to functional of Brownian motion

For independent r.v. the $\liminf X_n$ is almost surely constant

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