Question

Well-definedness of inclusion of $L^{p}$-spaces.

score 66 · Answer 1 · 2026-03-27 02:37:45

66

Views

Well-definedness of inclusion of $L^{p}$-spaces.

Published on 27 Mar 2026 - 2:37

score 58 · Answer 2 · 2020-02-04 02:59:49

58

Views

Given a positive, finite, regular measure $\lambda$ and $g\in L^1(\lambda)$, the measure $\mu$ given by $\mu(E)=\int_E g~d\lambda$ is regular

Published on 04 Feb 2020 - 2:59

score 55 · Answer 3 · 2020-02-09 17:35:00

55

Views

Is it true that $f(X)$ is countable implies $f$ is measurable?

Published on 09 Feb 2020 - 17:35

score 641 · Answer 4 · 2020-02-10 22:11:18

641

Views

Borel $\sigma$-algebra, generating sets and random variables

Published on 10 Feb 2020 - 22:11

score 50 · Answer 5 · 2020-02-11 05:13:59

50

Views

$\exists A\in \Sigma$ with $\mu (A)=0$ such as , $\forall n\ge 1$ : $f_n(E\smallsetminus A)$ is a separable subset of $

Published on 11 Feb 2020 - 5:13

score 39 · Answer 6 · 2026-03-25 06:27:45

39

Views

Example where image of measurable set under measurable function is not measurable

Published on 25 Mar 2026 - 6:27

score 33 · Answer 7 · 2020-02-16 14:02:44

33

Views

Unclear about the meaning of the question

Published on 16 Feb 2020 - 14:02

score 81 · Answer 8 · 2020-02-16 20:30:29

81

Views

Prove that $A$ is Jordan measurable and $v(A)=0$

Published on 16 Feb 2020 - 20:30

score 35 · Answer 9 · 2020-02-19 08:45:43

35

Views

Measurable functions and Borel sets

Published on 19 Feb 2020 - 8:45

score 52 · Answer 10 · 2020-02-19 23:47:09

52

Views

Proof that $f$ is integrable on $[0,1]^2$ if and only if $g$ is integrable on $[0,1]$

Published on 19 Feb 2020 - 23:47

score 60 · Answer 11 · 2020-02-23 23:51:20

60

Views

Prove exist a measurable function

Published on 23 Feb 2020 - 23:51

score 204 · Answer 12 · 2026-03-25 03:04:20

204

Views

Show that $f$ is $\mathcal{A}$-measurable if and only if $\{x \in A \mid f(x)=\alpha_i\} \in \mathcal{A}$ for all $i=1,\dots,n$

Published on 25 Mar 2026 - 3:04

score 790 · Answer 13 · 2020-02-28 18:05:41

790

Views

weak convergence of dirac measure $\delta_{\frac 1 n}$

Published on 28 Feb 2020 - 18:05

score 50 · Answer 14 · 2020-03-04 18:26:22

50

Views

maps in $L^2(X,\mu, \mathbb{H}) $

Published on 04 Mar 2020 - 18:26

score 58 · Answer 15 · 2020-03-05 19:22:01

58

Views

Showing that a function $u:[a,b]\to \mathbb{R}$ is measurable

Published on 05 Mar 2020 - 19:22

List Question

Well-definedness of inclusion of $L^{p}$-spaces.

Given a positive, finite, regular measure $\lambda$ and $g\in L^1(\lambda)$, the measure $\mu$ given by $\mu(E)=\int_E g~d\lambda$ is regular

Is it true that $f(X)$ is countable implies $f$ is measurable?

Borel $\sigma$-algebra, generating sets and random variables

$\exists A\in \Sigma$ with $\mu (A)=0$ such as , $\forall n\ge 1$ : $f_n(E\smallsetminus A)$ is a separable subset of $

Example where image of measurable set under measurable function is not measurable

Unclear about the meaning of the question

Prove that $A$ is Jordan measurable and $v(A)=0$

Measurable functions and Borel sets

Proof that $f$ is integrable on $[0,1]^2$ if and only if $g$ is integrable on $[0,1]$

Prove exist a measurable function

Show that $f$ is $\mathcal{A}$-measurable if and only if $\{x \in A \mid f(x)=\alpha_i\} \in \mathcal{A}$ for all $i=1,\dots,n$

weak convergence of dirac measure $\delta_{\frac 1 n}$

maps in $L^2(X,\mu, \mathbb{H}) $

Showing that a function $u:[a,b]\to \mathbb{R}$ is measurable

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