List questions from measurable-functions

Published on 16 Jun 2020 - 13:42

108

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Measure convergence and pointwise convergence in almost everywhere

Published on 24 Feb 2026 - 10:15

66

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Question about a proof related to the preimage of an measurable function.

Published on 17 Jun 2020 - 7:06

82

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Question regarding specific steps of Fatou's lemma proof.

Published on 17 Jun 2020 - 14:33

200

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Convergence of simple non-negative functions to a measurable function

Published on 18 Jun 2020 - 16:39

37

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A question to a proof regarding to measurable functions with basic topology

Published on 19 Jun 2020 - 12:27

192

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Proving $\lim_{n\to\infty}\sup_{\lambda \in \Lambda}\big|\int_\mathbb X f_{n, \lambda}(x) \mu_n(d x)-\int_\mathbb X f_\lambda(x) \mu(d x)\big|=0$

Published on 25 Mar 2026 - 13:53

104

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Convergence in measure of $\cos(\frac{x}{n})$ for $x\in[0,\pi]$.

Published on 21 Jun 2020 - 22:18

753

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The function that generates a measurable graph is measurable

Published on 25 Mar 2026 - 9:53

700

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Can I say that every integrable function is measurable?

Published on 25 Jun 2020 - 19:29

493

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Equivalence of $\sigma$-field $\sigma(X,Y)$ and $\sigma (X+Y,X-Y)$

Published on 26 Jun 2020 - 12:46

102

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nonnegative measurable function (monoton convergence theorem)

Published on 24 Feb 2026 - 19:31

32

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Prove that $\sigma\{X_i:i\in\{1,\cdots,n\}\}=\sigma\{\prod_{k=1}^iX_k:i\in\{1,\cdots,n\}\}$

Published on 28 Jun 2020 - 0:09

147

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theorem 10.14 Browder Mathematical Analysis

Published on 01 Jul 2020 - 18:55

310

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About essential range and essential supremum

Published on 02 Jul 2020 - 23:09

List Question

How to verify $0\leq f_n(x) \leq f_{n+1}(x)\leq\dots$

Measure convergence and pointwise convergence in almost everywhere

Question about a proof related to the preimage of an measurable function.

Question regarding specific steps of Fatou's lemma proof.

Convergence of simple non-negative functions to a measurable function

A question to a proof regarding to measurable functions with basic topology

Proving $\lim_{n\to\infty}\sup_{\lambda \in \Lambda}\big|\int_\mathbb X f_{n, \lambda}(x) \mu_n(d x)-\int_\mathbb X f_\lambda(x) \mu(d x)\big|=0$

Convergence in measure of $\cos(\frac{x}{n})$ for $x\in[0,\pi]$.

The function that generates a measurable graph is measurable

Can I say that every integrable function is measurable?

Equivalence of $\sigma$-field $\sigma(X,Y)$ and $\sigma (X+Y,X-Y)$

nonnegative measurable function (monoton convergence theorem)

Prove that $\sigma\{X_i:i\in\{1,\cdots,n\}\}=\sigma\{\prod_{k=1}^iX_k:i\in\{1,\cdots,n\}\}$

theorem 10.14 Browder Mathematical Analysis

About essential range and essential supremum

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