List questions from weak-convergence

Published on 14 Dec 2014 - 8:38

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Limit law of real-valued independent random variables

Published on 14 Dec 2014 - 10:27

348

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Central limit theorem extends to absolutely continuous measures

Published on 26 Mar 2026 - 11:05

106

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Show $f(k x)\rightharpoonup\frac{1}{|U|}\int_{U} f(x)dx$ in $L^p(U)$, $p \in (1, \infty)$, $U:=\prod_{i}^{d}(a_{i},b_{i})$

Published on 17 Dec 2014 - 19:17

212

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Convergence in distribution of the negative part of centered/scaled poisson variable

Published on 29 Mar 2026 - 8:35

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weak* convergence for sequence in $ L^\infty$

Published on 18 Dec 2014 - 21:15

194

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Semigroup of operators: weak continuity at 0+ implies weak continuity at any t > 0

Published on 26 Mar 2026 - 7:22

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Does really convergence in distribution or in law implies convergence in PMF or PDF?

Published on 26 Mar 2026 - 12:41

124

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Problem on sequence of probability measures

Published on 27 Dec 2014 - 3:53

74

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Existence of nets from weak closure

Published on 25 Mar 2026 - 11:10

44

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A basic question on spaces of probability measures

Published on 01 Jan 2015 - 7:11

170

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Implications of weak convergence in Lp e change of measure spaces

Published on 04 Oct 2019 - 13:11

213

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Show that if $Z_{n}-X_{n}$ converges weakly to $0$ and $Z_{n}$ converges weakly to $Z$, then $X_{n}$ converges weakly to $Z$.

Published on 05 Oct 2019 - 18:41

34

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Weak limit in variational formulation

Published on 27 Mar 2026 - 16:17

423

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Weak closure of orthonormal basis in Hilbert space

Published on 15 Oct 2019 - 13:15

List Question

Weak Convergence for a specific example

Limit law of real-valued independent random variables

Central limit theorem extends to absolutely continuous measures

Show $f(k x)\rightharpoonup\frac{1}{|U|}\int_{U} f(x)dx$ in $L^p(U)$, $p \in (1, \infty)$, $U:=\prod_{i}^{d}(a_{i},b_{i})$

Convergence in distribution of the negative part of centered/scaled poisson variable

weak* convergence for sequence in $ L^\infty$

Semigroup of operators: weak continuity at 0+ implies weak continuity at any t > 0

Does really convergence in distribution or in law implies convergence in PMF or PDF?

Problem on sequence of probability measures

Existence of nets from weak closure

A basic question on spaces of probability measures

Implications of weak convergence in Lp e change of measure spaces

Show that if $Z_{n}-X_{n}$ converges weakly to $0$ and $Z_{n}$ converges weakly to $Z$, then $X_{n}$ converges weakly to $Z$.

Weak limit in variational formulation

Weak closure of orthonormal basis in Hilbert space

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