List questions from weak-convergence

Published on 14 Feb 2018 - 4:52

384

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Weak and Weak* convergences implying reflexivity

Published on 22 Mar 2026 - 16:15

120

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On what groups is the convolution of probabilities jointly weak*-continuous?

Published on 24 Mar 2026 - 22:08

57

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Weak convergence on nonseparable spaces

Published on 25 Feb 2018 - 11:33

53

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Let $f:\Xi\rightarrow\mathbb{R}$ we consider $F$ defined by $F(\nu):=\int_{\Xi}f(\xi)\nu(d\xi)$. Is $F$ continuous with respect to the metric $W_{p}$?

Published on 25 Feb 2018 - 15:19

463

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Weak convergence in $L^2[0,1]$

Published on 06 Mar 2018 - 8:14

77

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Proof that if $X_n \Rightarrow X$ and $\rho(X_n,Y_n) \Rightarrow 0$, then $Y_n \Rightarrow X$

Published on 06 Mar 2018 - 17:28

595

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Proving if $X_n$ are uniformly integrable and $X_n \Rightarrow X$, then $EX_n \to EX$

Published on 06 Mar 2018 - 17:47

242

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Weak convergence to probability measure

Published on 07 Mar 2018 - 22:05

62

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Finding a weak open neighbourhood of a Hilbert space with a certain property

Published on 25 Mar 2026 - 4:41

414

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Definition of relative (sequential) compactness

Published on 11 Mar 2018 - 8:14

347

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Weak convergence of a power nonlinearity

Published on 13 Mar 2018 - 17:59

276

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Weak convergence to the average

Published on 14 Mar 2018 - 8:14

903

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Condition on characteristic function to converge in distribution to zero

Published on 22 Mar 2026 - 0:42

869

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A sequence $\{x_n\}$ in a Banach space converging weakly to $x \in X$ such that $||x_n|| \le ||x||, \forall n \in \mathbb N$

Published on 15 Mar 2018 - 15:17

List Question

Probability question: proving independence.

Weak and Weak* convergences implying reflexivity

On what groups is the convolution of probabilities jointly weak*-continuous?

Weak convergence on nonseparable spaces

Let $f:\Xi\rightarrow\mathbb{R}$ we consider $F$ defined by $F(\nu):=\int_{\Xi}f(\xi)\nu(d\xi)$. Is $F$ continuous with respect to the metric $W_{p}$?

Weak convergence in $L^2[0,1]$

Proof that if $X_n \Rightarrow X$ and $\rho(X_n,Y_n) \Rightarrow 0$, then $Y_n \Rightarrow X$

Proving if $X_n$ are uniformly integrable and $X_n \Rightarrow X$, then $EX_n \to EX$

Weak convergence to probability measure

Finding a weak open neighbourhood of a Hilbert space with a certain property

Definition of relative (sequential) compactness

Weak convergence of a power nonlinearity

Weak convergence to the average

Condition on characteristic function to converge in distribution to zero

A sequence $\{x_n\}$ in a Banach space converging weakly to $x \in X$ such that $||x_n|| \le ||x||, \forall n \in \mathbb N$

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