List questions from strong-convergence

Published on 16 Apr 2020 - 7:03

32

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Let $B_nx=x(t-\frac{1}{n})\in L^2(\mathbb{R})$. Show that $B_n\overset{s}{\to}Id$ but $B_n\not\rightrightarrows Id$

Published on 17 Apr 2020 - 7:06

391

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When does strong convergence imply convergence in operator norm?

Published on 18 Apr 2020 - 18:28

112

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Tail of increasing convergent net of self-adjoint operators is bounded

Published on 29 Apr 2020 - 23:12

237

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Weak and strong convergence of a sequence of operators in $L^2(\mathbb{R})$

Published on 05 May 2020 - 15:32

123

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Some doubts about proof of Strong Law of Large Numbers

Published on 04 Jun 2020 - 12:55

229

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Sequence of functions that converges strongly in $L^2(\mathbb R)$ but not pointwise

Published on 29 Jun 2020 - 6:23

76

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Invertibility of a strong limit

Published on 28 Oct 2016 - 15:04

44

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Family of projections in a Banach space.

Published on 29 Oct 2016 - 14:33

95

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Question Regarding a Limit Root of Random Sequence

Published on 08 Nov 2016 - 20:48

966

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Weak convergence and $\|f_{n}\|\rightarrow\|f\|$ implies strong convergence

Published on 26 Dec 2016 - 13:30

63

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If $f(X_n,y)\to g(y)$ almost surely for each fixed $y$, $\Pr[f(X_n,Y)\leq\alpha]\to\Pr[g(Y)\leq\alpha]$?

Published on 02 Jan 2017 - 23:37

159

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Norm of a Toeplitz operator

Published on 25 Feb 2023 - 16:48

36

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Proof of bound an optimal solution of minimum problem with strong convexity and smoothness

Published on 01 Mar 2023 - 21:13

40

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Approximation by simple functions of vector valued functions

Published on 11 May 2023 - 11:07

List Question

Weak and Pointwise Convergence question

Let $B_nx=x(t-\frac{1}{n})\in L^2(\mathbb{R})$. Show that $B_n\overset{s}{\to}Id$ but $B_n\not\rightrightarrows Id$

When does strong convergence imply convergence in operator norm?

Tail of increasing convergent net of self-adjoint operators is bounded

Weak and strong convergence of a sequence of operators in $L^2(\mathbb{R})$

Some doubts about proof of Strong Law of Large Numbers

Sequence of functions that converges strongly in $L^2(\mathbb R)$ but not pointwise

Invertibility of a strong limit

Family of projections in a Banach space.

Question Regarding a Limit Root of Random Sequence

Weak convergence and $\|f_{n}\|\rightarrow\|f\|$ implies strong convergence

If $f(X_n,y)\to g(y)$ almost surely for each fixed $y$, $\Pr[f(X_n,Y)\leq\alpha]\to\Pr[g(Y)\leq\alpha]$?

Norm of a Toeplitz operator

Proof of bound an optimal solution of minimum problem with strong convexity and smoothness

Approximation by simple functions of vector valued functions

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