List questions from pointwise-convergence

71

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Given a $f \in L^1(\mathbb{R})$ is there a $g : \mathbb{R} \to \mathbb{R}$ such that $g(f) = 0$ with $g \neq 0$?

Published on 06 Sep 2019 - 0:56

61

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A question on point-wise/uniform convergence of a sequence of functions

Published on 09 Sep 2019 - 13:43

136

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Weak convergence + pointwise convergence on dense subspace of $L^2$

Published on 12 Sep 2019 - 10:56

51

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Interchanging Positions of Limit and Integral

Published on 23 Sep 2019 - 20:54

86

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Why the convergence is pointwise in this question and why the translation is continuous?

Published on 24 Sep 2019 - 9:48

309

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Sequence of continuous functions on [0,1] converging to unbounded function.

Published on 25 Sep 2019 - 4:14

742

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Pointwise and uniform convergence of the series $\sum\limits_{n=1}^{\infty} \frac{1}{1+n^2x^2},\ x>0$

Published on 11 May 2014 - 12:27

256

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Pointwise convergence is enough for continuity of operators limit, but not of functions

Published on 08 Oct 2019 - 12:27

530

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Is almost sure convergence equivalent to pointwise convergence?

Published on 11 Oct 2019 - 9:36

136

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Elaborating an example that shows that pointwise convergence is not sufficient to pass the limit under the integral sign.

Published on 18 Oct 2019 - 15:18

300

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convergence almost surely that uses lim sup of probabilities

Published on 21 Oct 2019 - 1:35

80

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Sequence of functions converges

Published on 22 Oct 2019 - 8:09

222

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Introducing pointwise convergence of functions as convergence with respect to some metric

Published on 23 Oct 2019 - 11:15

215

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Uniform convergence of $\sin^2(x+1/n)$

Published on 28 Oct 2019 - 11:30

91

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Example of continuity of measure and convergence in measure

Published on 28 Oct 2019 - 20:20

List Question

Given a $f \in L^1(\mathbb{R})$ is there a $g : \mathbb{R} \to \mathbb{R}$ such that $g(f) = 0$ with $g \neq 0$?

A question on point-wise/uniform convergence of a sequence of functions

Weak convergence + pointwise convergence on dense subspace of $L^2$

Interchanging Positions of Limit and Integral

Why the convergence is pointwise in this question and why the translation is continuous?

Sequence of continuous functions on [0,1] converging to unbounded function.

Pointwise and uniform convergence of the series $\sum\limits_{n=1}^{\infty} \frac{1}{1+n^2x^2},\ x>0$

Pointwise convergence is enough for continuity of operators limit, but not of functions

Is almost sure convergence equivalent to pointwise convergence?

Elaborating an example that shows that pointwise convergence is not sufficient to pass the limit under the integral sign.

convergence almost surely that uses lim sup of probabilities

Sequence of functions converges

Introducing pointwise convergence of functions as convergence with respect to some metric

Uniform convergence of $\sin^2(x+1/n)$

Example of continuity of measure and convergence in measure

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