Question

Finding a full measure set in the projections.

score 25 · Answer 1 · 2021-11-14 23:22:49

25

Views

Finding a full measure set in the projections.

Published on 14 Nov 2021 - 23:22

score 122 · Answer 2 · 2021-11-15 10:12:58

122

Views

The $\mu$-a.e. limit of a sequence of $\mu$-measurable function is $\mu$-measurable

Published on 15 Nov 2021 - 10:12

score 79 · Answer 3 · 2026-03-31 22:29:13

79

Views

Measurable projection on the null space of a random matrix

Published on 31 Mar 2026 - 22:29

score 40 · Answer 4 · 2021-11-19 01:39:47

40

Views

Aproximating a measurable function in $\mathcal{L}_p$ by a continuous (or differentiable function)

Published on 19 Nov 2021 - 1:39

score 99 · Answer 5 · 2021-11-21 16:35:20

99

Views

Show that for every set $A \subset \mathbb R^n$ lebesgue measurable $\int_{A} f_n dx\rightarrow \int_{A} f dx.$

Published on 21 Nov 2021 - 16:35

score 131 · Answer 6 · 2021-11-23 04:52:25

131

Views

Calculating the Lebesgue Integral given only the measure of a set

Published on 23 Nov 2021 - 4:52

score 79 · Answer 7 · 2026-03-26 12:46:55

79

Views

Fourier-measurable set and fourier-measurable functions

Published on 26 Mar 2026 - 12:46

score 195 · Answer 8 · 2021-11-27 07:18:00

195

Views

Prove that monotonic function defined on a measurable set is continuous almost everywhere

Published on 27 Nov 2021 - 7:18

score 16 · Answer 9 · 2026-03-07 12:14:06

16

Views

If null sets in $\mathcal{A_1}$ are also null sets in $\mathcal{A_2}$, it follows that $L_p(X,\mathcal{A_1},\nu)\subset L_p(X,\mathcal{A_2},\nu)$.

Published on 07 Mar 2026 - 12:14

score 35 · Answer 10 · 2021-11-28 05:38:29

35

Views

Is this function between two sigma Algebras measurable without using the Borel Sigma Algebra?

Published on 28 Nov 2021 - 5:38

score 24 · Answer 11 · 2026-03-29 08:18:29

24

Views

Is this function between the sigma Algebra $G$ and the Borel Sigma measurable?

Published on 29 Mar 2026 - 8:18

score 30 · Answer 12 · 2021-11-28 07:22:20

30

Views

Find the density of a random variable with and without using density transformation theorem

Published on 28 Nov 2021 - 7:22

score 93 · Answer 13 · 2021-12-01 16:03:40

93

Views

Construct a sequence of Borel measurable functions

Published on 01 Dec 2021 - 16:03

score 169 · Answer 14 · 2026-03-29 10:14:31

169

Views

How to properly define conditional probabilities on metric spaces?

Published on 29 Mar 2026 - 10:14

score 70 · Answer 15 · 2021-12-04 10:51:10

70

Views

$\sigma$-algebra generated by a weakest topology such that some functions are continuous.

Published on 04 Dec 2021 - 10:51

List Question

Finding a full measure set in the projections.

The $\mu$-a.e. limit of a sequence of $\mu$-measurable function is $\mu$-measurable

Measurable projection on the null space of a random matrix

Aproximating a measurable function in $\mathcal{L}_p$ by a continuous (or differentiable function)

Show that for every set $A \subset \mathbb R^n$ lebesgue measurable $\int_{A} f_n dx\rightarrow \int_{A} f dx.$

Calculating the Lebesgue Integral given only the measure of a set

Fourier-measurable set and fourier-measurable functions

Prove that monotonic function defined on a measurable set is continuous almost everywhere

If null sets in $\mathcal{A_1}$ are also null sets in $\mathcal{A_2}$, it follows that $L_p(X,\mathcal{A_1},\nu)\subset L_p(X,\mathcal{A_2},\nu)$.

Is this function between two sigma Algebras measurable without using the Borel Sigma Algebra?

Is this function between the sigma Algebra $G$ and the Borel Sigma measurable?

Find the density of a random variable with and without using density transformation theorem

Construct a sequence of Borel measurable functions

How to properly define conditional probabilities on metric spaces?

$\sigma$-algebra generated by a weakest topology such that some functions are continuous.

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