List questions from measurable-functions

Published on 28 Jun 2022 - 10:47

555

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Why is the definition of a measurable function seemingly backwards

Published on 02 Jul 2022 - 23:17

65

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Is the $c$-transform $f^c$ defined by $f^c(y) := \inf_{x\in X} [c(x, y)- f(x)]$ measurable?

Published on 23 Feb 2026 - 12:08

154

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Find subset of integral satisfying $n$ equality constraints

Published on 11 Jul 2022 - 18:46

27

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Norm convergence plus continuity imply pointwise convergence?

Published on 26 Feb 2026 - 12:37

77

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The quantile function $F^{-1}: [0, 1] \to \mathbb R \cup \{\pm \infty\}, t \mapsto \inf \{x \in \mathbb R \mid F(x) \ge t\}$ is Borel measurable

Published on 25 Mar 2026 - 9:29

91

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Does compactness give measurable function any special property?

Published on 18 Jul 2022 - 14:47

71

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The measurability of $c$-transform

Published on 22 Jul 2022 - 8:27

42

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$\mathcal{F}_\infty$-measurablity of a random variable

Published on 27 Mar 2026 - 6:07

186

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An Almost Everywhere Measurable Function is Not Almost Everywhere Equal to a Measurable Function

Published on 26 Mar 2026 - 14:18

20

Views

Is measurability of Stochastic Transition Kernels preserved by intersections

Published on 26 Mar 2026 - 14:24

90

Views

Two ways to show a function is a measurable function

Published on 02 Aug 2022 - 4:53

62

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Completing a measure space does not affect the strong measurability of a function

Published on 26 Mar 2026 - 22:58

145

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Generalize a theorem about the $\mu$-measurability of a $\mu$-a.e. limit of a sequence of $\mu$-measurable functions

Published on 07 Aug 2022 - 13:56

46

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The source of a lecture note about (weak/strong) measurability of functions taking values in a Hausdorff locally convex space

Published on 07 Aug 2022 - 15:06

List Question

Non-measurable bijection

Why is the definition of a measurable function seemingly backwards

Is the $c$-transform $f^c$ defined by $f^c(y) := \inf_{x\in X} [c(x, y)- f(x)]$ measurable?

Find subset of integral satisfying $n$ equality constraints

Norm convergence plus continuity imply pointwise convergence?

The quantile function $F^{-1}: [0, 1] \to \mathbb R \cup \{\pm \infty\}, t \mapsto \inf \{x \in \mathbb R \mid F(x) \ge t\}$ is Borel measurable

Does compactness give measurable function any special property?

The measurability of $c$-transform

$\mathcal{F}_\infty$-measurablity of a random variable

An Almost Everywhere Measurable Function is Not Almost Everywhere Equal to a Measurable Function

Is measurability of Stochastic Transition Kernels preserved by intersections

Two ways to show a function is a measurable function

Completing a measure space does not affect the strong measurability of a function

Generalize a theorem about the $\mu$-measurability of a $\mu$-a.e. limit of a sequence of $\mu$-measurable functions

The source of a lecture note about (weak/strong) measurability of functions taking values in a Hausdorff locally convex space

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