Question

Duality between $L^\infty$ and $L^1$

score 432 · Answer 1 · 2026-04-06 00:16:45

432

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Duality between $L^\infty$ and $L^1$

Published on 06 Apr 2026 - 0:16

score 130 · Answer 2 · 2018-02-11 20:58:32

130

Views

Proving the Lebesgue decomposition theorem

Published on 11 Feb 2018 - 20:58

score 57 · Answer 3 · 2018-02-12 04:46:48

57

Views

Limit of integrals over $\bigcup_{z\in\Bbb Z}[z/n,(z+a)/n]$

Published on 12 Feb 2018 - 4:46

score 222 · Answer 4 · 2026-04-10 23:20:01

222

Views

Borel set with constant positive but not full measure in each interval.

Published on 10 Apr 2026 - 23:20

score 86 · Answer 5 · 2018-02-12 13:14:16

86

Views

Sigma fields generated by random variables

Published on 12 Feb 2018 - 13:14

score 74 · Answer 6 · 2026-04-02 16:42:04

74

Views

Identifying stopping times

Published on 02 Apr 2026 - 16:42

score 37 · Answer 7 · 2026-04-11 12:35:45

37

Views

Does a Sequence Converging to a Constant Conditional on Some Sequence Converge in Distribution Implies Convergence in Probability?

Published on 11 Apr 2026 - 12:35

score 65 · Answer 8 · 2026-04-09 02:09:53

65

Views

Can anyone give me an example of a measurable subset of the interval [10,100], that is not a Borel set.

Published on 09 Apr 2026 - 2:09

score 521 · Answer 9 · 2026-04-10 22:38:04

521

Views

Disintegration of measure and convergence

Published on 10 Apr 2026 - 22:38

score 511 · Answer 10 · 2026-03-25 06:06:21

511

Views

Borel set with translation invariant measure in each interval of any length

Published on 25 Mar 2026 - 6:06

score 33 · Answer 11 · 2026-03-25 06:07:10

X is r.v. on ($\Omega$,F,P) where $E[\left\lvert X \right\rvert^a] < \infty$. Prove $E[\left\lvert X \right\rvert^b] < \infty$ for all $0<b\le a$

score 73 · Answer 12 · 2018-02-13 10:49:29

Stupid question - why can't interval covers of a dense nullset be expanded to arbitrarily small covers of the real line?

score 67 · Answer 13 · 2026-04-12 08:31:02

67

Views

A measure space which is not finite but implies $L^p$ inclusion

Published on 12 Apr 2026 - 8:31

score 133 · Answer 14 · 2026-03-25 21:45:05

133

Views

Sequence Converging to Another Sequence, Can We Apply DCT?

Published on 25 Mar 2026 - 21:45

score 49 · Answer 15 · 2026-04-09 03:58:18

49

Views

If $\mathcal A$ is an algebra and $\mu$ is a vector measure on $\sigma(\mathcal A)$, can we approximate $\sigma(\mathcal A)$ by $\mathcal A$?

Published on 09 Apr 2026 - 3:58

List Question

Duality between $L^\infty$ and $L^1$

Proving the Lebesgue decomposition theorem

Limit of integrals over $\bigcup_{z\in\Bbb Z}[z/n,(z+a)/n]$

Borel set with constant positive but not full measure in each interval.

Sigma fields generated by random variables

Identifying stopping times

Does a Sequence Converging to a Constant Conditional on Some Sequence Converge in Distribution Implies Convergence in Probability?

Can anyone give me an example of a measurable subset of the interval [10,100], that is not a Borel set.

Disintegration of measure and convergence

Borel set with translation invariant measure in each interval of any length

X is r.v. on ($\Omega$,F,P) where $E[\left\lvert X \right\rvert^a] < \infty$. Prove $E[\left\lvert X \right\rvert^b] < \infty$ for all $0<b\le a$

Stupid question - why can't interval covers of a dense nullset be expanded to arbitrarily small covers of the real line?

A measure space which is not finite but implies $L^p$ inclusion

Sequence Converging to Another Sequence, Can We Apply DCT?

If $\mathcal A$ is an algebra and $\mu$ is a vector measure on $\sigma(\mathcal A)$, can we approximate $\sigma(\mathcal A)$ by $\mathcal A$?

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