Question

Showing that a set is in the product $\sigma$-algebra of $\mathcal{P}(\mathbb{R}) \times \mathfrak{M}$?

score 228 · Answer 1 · 2026-04-14 22:35:09

228

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Showing that a set is in the product $\sigma$-algebra of $\mathcal{P}(\mathbb{R}) \times \mathfrak{M}$?

Published on 14 Apr 2026 - 22:35

score 186 · Answer 2 · 2026-04-17 15:52:11

186

Views

Null Sets in "P - Almost Surely" Proofs

Published on 17 Apr 2026 - 15:52

score 1k · Answer 3 · 2026-04-09 22:53:13

1k

Views

How to find lower Riemann integral in given function?

Published on 09 Apr 2026 - 22:53

score 155 · Answer 4 · 2026-04-16 17:22:50

155

Views

Sequence of functions on $\mathcal{L}^1([0,1])$ with $\lim_{n\rightarrow \infty}||f_n||_1=0$ but $\sup\{f_n(x): n\in\mathbf{Z}^+\}=\infty$?

Published on 16 Apr 2026 - 17:22

score 15 · Answer 5 · 2026-04-21 16:16:58

15

Views

$B \in \mathcal{B}(M) \Leftrightarrow (rB+x) \in \mathcal{B}(N)$

Published on 21 Apr 2026 - 16:16

score 78 · Answer 6 · 2026-04-12 09:47:20

78

Views

Union of sets with measure null difference

Published on 12 Apr 2026 - 9:47

score 101 · Answer 7 · 2026-04-12 06:45:35

101

Views

A question on sufficient conditions for independence of sigma algebras

Published on 12 Apr 2026 - 6:45

score 102 · Answer 8 · 2026-04-11 10:33:39

102

Views

Properties of Hilbert space valued functions

Published on 11 Apr 2026 - 10:33

score 64 · Answer 9 · 2026-04-16 17:27:04

64

Views

showing $f=g$ a.e. given $f_n\to f$ uniformly and $f_n\to g$ in $L^p(\Bbb R)$

Published on 16 Apr 2026 - 17:27

score 114 · Answer 10 · 2026-04-16 18:39:30

114

Views

Bound on $L^1$ norm of $\limsup$ gives convergence in measure?

Published on 16 Apr 2026 - 18:39

score 129 · Answer 11 · 2026-04-10 13:14:52

129

Views

Notation when integrating with respect to a measure

Published on 10 Apr 2026 - 13:14

score 68 · Answer 12 · 2026-05-05 08:47:30

68

Views

Joint Measurability from Weak Measurability and Continuity

Published on 05 May 2026 - 8:47

score 42 · Answer 13 · 2026-04-13 20:37:51

42

Views

My possibly fraudulent proof of $f_n$ Cauchy in measure => $f_n -> liminf$ in measure

Published on 13 Apr 2026 - 20:37

score 73 · Answer 14 · 2026-04-13 01:40:42

73

Views

Measurable sets in pratice with Lebesgue-Stieltjes measure

Published on 13 Apr 2026 - 1:40

score 64 · Answer 15 · 2026-04-14 18:11:39

64

Views

The difference in the two arguments regarding completion of dirac-measure

Published on 14 Apr 2026 - 18:11

List Question

Showing that a set is in the product $\sigma$-algebra of $\mathcal{P}(\mathbb{R}) \times \mathfrak{M}$?

Null Sets in "P - Almost Surely" Proofs

How to find lower Riemann integral in given function?

Sequence of functions on $\mathcal{L}^1([0,1])$ with $\lim_{n\rightarrow \infty}||f_n||_1=0$ but $\sup\{f_n(x): n\in\mathbf{Z}^+\}=\infty$?

$B \in \mathcal{B}(M) \Leftrightarrow (rB+x) \in \mathcal{B}(N)$

Union of sets with measure null difference

A question on sufficient conditions for independence of sigma algebras

Properties of Hilbert space valued functions

showing $f=g$ a.e. given $f_n\to f$ uniformly and $f_n\to g$ in $L^p(\Bbb R)$

Bound on $L^1$ norm of $\limsup$ gives convergence in measure?

Notation when integrating with respect to a measure

Joint Measurability from Weak Measurability and Continuity

My possibly fraudulent proof of $f_n$ Cauchy in measure => $f_n -> liminf$ in measure

Measurable sets in pratice with Lebesgue-Stieltjes measure

The difference in the two arguments regarding completion of dirac-measure

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