List questions from measurable-functions

Published on 16 Sep 2019 - 6:09

139

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Can a Borel Measurable function be surjective?

Published on 25 Mar 2026 - 7:47

209

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Prove that $X_{\tau}$ is a random variable.

Published on 18 Sep 2019 - 19:52

112

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Random variable measurable in two $\sigma$-algebra for any B $\in B\$

Published on 19 Sep 2019 - 10:30

91

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What does the functional elements of $L^0,L^1$ and $L^\infty$ look like?

Published on 21 Sep 2019 - 18:06

72

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Discussing the proof of proposition 9 pg.60 in Royden.

Published on 24 Sep 2019 - 13:59

745

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What is a "measurable function" in laymen words? (Edit: from a real analysis view)

Published on 25 Sep 2019 - 11:16

75

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Real-valued measurable functions $f_n \geq f_{n+1}$ with $f_n \to 0$ pointwise, then $f_n \to 0$ in measure

Published on 27 Sep 2019 - 13:35

34

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Fundamental properties of conditional expectations

Published on 28 Sep 2019 - 13:47

650

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Proving that the sum of delta functions is a measure on the Borel $\sigma$-algebra

Published on 29 Sep 2019 - 17:29

207

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Product measure; support on a graph

Published on 01 Oct 2019 - 15:13

16.1k

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Definition of a measurable function?

Published on 21 Aug 2014 - 19:35

1.3k

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Measurability of the floor function

Published on 27 Sep 2014 - 20:11

91

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Determine $\left \{ u\geq a \right \}$ for all $a\in \mathbb{R}$, and is $u$ $\mathcal B(\mathbb{R})/\mathcal B(\mathbb{R})$-measurable?

Published on 02 Oct 2014 - 6:10

220

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Law of a stochastic processes with continuous path

Published on 02 Oct 2019 - 17:54

List Question

Any nice pedagogical examples of S-measurable functions?

Can a Borel Measurable function be surjective?

Prove that $X_{\tau}$ is a random variable.

Random variable measurable in two $\sigma$-algebra for any B $\in B\$

What does the functional elements of $L^0,L^1$ and $L^\infty$ look like?

Discussing the proof of proposition 9 pg.60 in Royden.

What is a "measurable function" in laymen words? (Edit: from a real analysis view)

Real-valued measurable functions $f_n \geq f_{n+1}$ with $f_n \to 0$ pointwise, then $f_n \to 0$ in measure

Fundamental properties of conditional expectations

Proving that the sum of delta functions is a measure on the Borel $\sigma$-algebra

Product measure; support on a graph

Definition of a measurable function?

Measurability of the floor function

Determine $\left \{ u\geq a \right \}$ for all $a\in \mathbb{R}$, and is $u$ $\mathcal B(\mathbb{R})/\mathcal B(\mathbb{R})$-measurable?

Law of a stochastic processes with continuous path

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