Question

Integral of simple functions and the convention $0 \times \infty = 0$

score 95 · Answer 1 · 2026-03-25 01:17:22

95

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Integral of simple functions and the convention $0 \times \infty = 0$

Published on 25 Mar 2026 - 1:17

score 84 · Answer 2 · 2019-11-30 12:37:28

84

Views

A function $f = (f_{1},...,f_{d})$ is measurable $\iff$ $f_{j}$ is measurable $\forall j$

Published on 30 Nov 2019 - 12:37

score 130 · Answer 3 · 2019-12-03 18:45:40

130

Views

Proving that $\lfloor{X} \rfloor$ is a random variable

Published on 03 Dec 2019 - 18:45

score 60 · Answer 4 · 2019-12-04 03:34:35

60

Views

Prove that $A_B=\left\{B \cap A \,; A \in \mathbb{A} \right\}$ is a σ-algebra

Published on 04 Dec 2019 - 3:34

score 79 · Answer 5 · 2019-12-05 01:53:18

79

Views

Question about approximating measurable functions with continuous functions.

Published on 05 Dec 2019 - 1:53

score 162 · Answer 6 · 2019-12-09 23:23:21

162

Views

Showing set inclusion for sigma algebra generated by function

Published on 09 Dec 2019 - 23:23

score 1k · Answer 7 · 2019-12-10 20:54:04

1k

Views

Is a measurable function a pointwise limit of simple functions?

Published on 10 Dec 2019 - 20:54

score 699 · Answer 8 · 2019-12-12 09:13:48

699

Views

Example of non measurable function in $\mathbb R^2$

Published on 12 Dec 2019 - 9:13

score 21 · Answer 9 · 2026-03-25 10:55:58

21

Views

Proof that $h = g \circ f^{-1}$ is $(\overline{\mathcal{B}}, \overline{\mathcal{B}})$-measurable.

Published on 25 Mar 2026 - 10:55

score 69 · Answer 10 · 2019-12-15 20:34:47

69

Views

Limit of integrals on a measure space

Published on 15 Dec 2019 - 20:34

score 374 · Answer 11 · 2026-02-23 08:33:06

374

Views

A measurable function $F$ sends measurable sets to measurable sets $\iff$ it has the Luzin n property. (In $R$)

Published on 23 Feb 2026 - 8:33

score 214 · Answer 12 · 2019-12-21 18:23:58

214

Views

Is $X$ measurable w.r.t $X+Y$? That is $X \in \sigma(X+Y)$?

Published on 21 Dec 2019 - 18:23

score 92 · Answer 13 · 2019-12-21 20:38:12

92

Views

Question on proof of "Lebesgue measurable function = a.e to borel measurable function"

Published on 21 Dec 2019 - 20:38

score 55 · Answer 14 · 2019-12-26 16:53:58

55

Views

show that $\mathcal{A}_{f}$ is a $\sigma$-algebra

Published on 26 Dec 2019 - 16:53

score 41 · Answer 15 · 2026-03-26 07:57:44

41

Views

Prove that $\alpha$ is a Borel map

Published on 26 Mar 2026 - 7:57

List Question

Integral of simple functions and the convention $0 \times \infty = 0$

A function $f = (f_{1},...,f_{d})$ is measurable $\iff$ $f_{j}$ is measurable $\forall j$

Proving that $\lfloor{X} \rfloor$ is a random variable

Prove that $A_B=\left\{B \cap A \,; A \in \mathbb{A} \right\}$ is a σ-algebra

Question about approximating measurable functions with continuous functions.

Showing set inclusion for sigma algebra generated by function

Is a measurable function a pointwise limit of simple functions?

Example of non measurable function in $\mathbb R^2$

Proof that $h = g \circ f^{-1}$ is $(\overline{\mathcal{B}}, \overline{\mathcal{B}})$-measurable.

Limit of integrals on a measure space

A measurable function $F$ sends measurable sets to measurable sets $\iff$ it has the Luzin n property. (In $R$)

Is $X$ measurable w.r.t $X+Y$? That is $X \in \sigma(X+Y)$?

Question on proof of "Lebesgue measurable function = a.e to borel measurable function"

show that $\mathcal{A}_{f}$ is a $\sigma$-algebra

Prove that $\alpha$ is a Borel map

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