List questions from measure-theory

Published on 15 Apr 2026 - 18:16

451

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Approximating the Lebesgue measure on the full real line with discrete measures

Published on 14 Apr 2026 - 19:07

320

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What is the product of two Haar distributed unitary matrices?

Published on 10 May 2026 - 14:07

90

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Convergent subsequence extraction

Published on 20 Apr 2026 - 13:46

60

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Problem about Borel-measurability, pushforward measure and $L^1$ spaces.

Published on 14 Apr 2026 - 8:49

82

Views

Verification of argument in Corollary 3.3 Stein and Shakarchi Real analysis

Published on 12 Apr 2026 - 7:47

459

Views

Showing that an integral operator on $L^p$ spaces has a certain norm

Published on 10 May 2026 - 17:37

37

Views

Showing $f(X_{n}) \xrightarrow{P} f(X)$

Published on 15 Apr 2026 - 17:06

4.2k

Views

Difference between Lebesgue Sigma Algebra and Borel Sigma Algebra

Published on 10 May 2026 - 16:32

130

Views

Definition of sigma algebra - beyond pi and lambda system

Published on 11 Apr 2026 - 22:07

309

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Doubt in understanding theorem 4.1 Real analysis Stein and Shakarachi

Published on 10 May 2026 - 18:43

25

Views

Idea on: $Y$ is $\tau-$measurable $\iff$ there $\exists c \in \mathbb R$ where $P(Y=c)=1$

Published on 15 Apr 2026 - 6:08

55

Views

necessary and sufficient condition on $(u_n)$ for a.s convergence of $\sum_n u_nX_n$

Published on 25 Mar 2026 - 11:16

254

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$F \subset E \subset G$ and $V(G \setminus F ) < \epsilon$ then $E$ is Jordan measurable

Published on 16 Apr 2026 - 10:36

58

Views

Exhibit a countable subset $E\subset [0,1]$ so that $J_{}(E)=1$ where $m_{}(E)=0$

Published on 05 May 2026 - 6:43

List Question

Lebesgue measure of a straight line in $\mathbb{R}^2$ is zero

Approximating the Lebesgue measure on the full real line with discrete measures

What is the product of two Haar distributed unitary matrices?

Convergent subsequence extraction

Problem about Borel-measurability, pushforward measure and $L^1$ spaces.

Verification of argument in Corollary 3.3 Stein and Shakarchi Real analysis

Showing that an integral operator on $L^p$ spaces has a certain norm

Showing $f(X_{n}) \xrightarrow{P} f(X)$

Difference between Lebesgue Sigma Algebra and Borel Sigma Algebra

Definition of sigma algebra - beyond pi and lambda system

Doubt in understanding theorem 4.1 Real analysis Stein and Shakarachi

Idea on: $Y$ is $\tau-$measurable $\iff$ there $\exists c \in \mathbb R$ where $P(Y=c)=1$

necessary and sufficient condition on $(u_n)$ for a.s convergence of $\sum_n u_nX_n$

$F \subset E \subset G$ and $V(G \setminus F ) < \epsilon$ then $E$ is Jordan measurable

Exhibit a countable subset $E\subset [0,1]$ so that $J_{}(E)=1$ where $m_{}(E)=0$

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