Question

Are projection valued measures continuous?

score 87 · Answer 1 · 2026-04-12 08:42:58

87

Views

Are projection valued measures continuous?

Published on 12 Apr 2026 - 8:42

score 60 · Answer 2 · 2026-04-11 05:06:46

60

Views

Which convergence when discussing density in $L^p$?

Published on 11 Apr 2026 - 5:06

score 132 · Answer 3 · 2026-04-16 09:09:16

132

Views

Use Fubini's Theorem to calculate the integral $\int_{0}^{\pi/2}\int_{y}^{\pi/2}y\frac{sin x}{x}dx dy$

Published on 16 Apr 2026 - 9:09

score 99 · Answer 4 · 2026-05-10 15:58:12

99

Views

Riesz measure associated with a superharmonic function

Published on 10 May 2026 - 15:58

score 104 · Answer 5 · 2026-04-17 19:57:18

104

Views

Why are the finite-dimensional sets of $\mathbb{R}^{\infty}$ convergence-deterimining sets?

Published on 17 Apr 2026 - 19:57

score 602 · Answer 6 · 2026-05-11 00:30:50

602

Views

Total variation distance of probaiblity measures

Published on 11 May 2026 - 0:30

score 62 · Answer 7 · 2026-04-09 08:10:05

62

Views

showing that $\|f\|_1=\sup \{\int_{[a,b]}\tau(x)dx \mid \tau \text{ step function and } \tau\le f\} $

Published on 09 Apr 2026 - 8:10

score 23 · Answer 8 · 2026-04-16 08:52:38

23

Views

When $\lim_{r \to 0}\frac{1}{|B_r(\bar x)|}\int_0^a\int_{B_r(\bar x)} u(y,x) dx dy = 0$ implies $u(y,\bar x)=0$ for a.e. $y \in [0,a]$

Published on 16 Apr 2026 - 8:52

score 160 · Answer 9 · 2026-04-14 19:06:57

160

Views

What to use for $\lim_{n\to \infty}\int_{[0,1]}\frac{n\sin{x}}{1+n^2\sqrt{x}}dx$

Published on 14 Apr 2026 - 19:06

score 363 · Answer 10 · 2026-04-16 16:16:46

363

Views

prove that null set product $R^n$ is of measure zero

Published on 16 Apr 2026 - 16:16

score 226 · Answer 11 · 2026-04-14 21:49:00

226

Views

Conditional expectation w.r.t. union of sub algebras

Published on 14 Apr 2026 - 21:49

score 56 · Answer 12 · 2026-04-13 19:40:21

56

Views

Show that the composition of a sub-invariant measure with a sub-Markov kernel is a contraction on $L^p$

Published on 13 Apr 2026 - 19:40

score 50 · Answer 13 · 2026-04-13 13:43:55

50

Views

Shape of $\{a>0:\int |f|^a \text{d}\mu<\infty\}$

Published on 13 Apr 2026 - 13:43

score 55 · Answer 14 · 2026-04-16 06:57:27

55

Views

If $E \subset R$ and $m(E) \gt 0$ , can we find a surjective function that maps $E$ to $R$ ?

Published on 16 Apr 2026 - 6:57

score 178 · Answer 15 · 2026-04-15 21:29:39

178

Views

Why is $\mathscr{A}_{\infty}=\bigcup_{n\in\mathbb{N}} \mathscr{A}_n$ never a $\sigma$-algebra?

Published on 15 Apr 2026 - 21:29

List Question

Are projection valued measures continuous?

Which convergence when discussing density in $L^p$?

Use Fubini's Theorem to calculate the integral $\int_{0}^{\pi/2}\int_{y}^{\pi/2}y\frac{sin x}{x}dx dy$

Riesz measure associated with a superharmonic function

Why are the finite-dimensional sets of $\mathbb{R}^{\infty}$ convergence-deterimining sets?

Total variation distance of probaiblity measures

showing that $\|f\|_1=\sup \{\int_{[a,b]}\tau(x)dx \mid \tau \text{ step function and } \tau\le f\} $

When $\lim_{r \to 0}\frac{1}{|B_r(\bar x)|}\int_0^a\int_{B_r(\bar x)} u(y,x) dx dy = 0$ implies $u(y,\bar x)=0$ for a.e. $y \in [0,a]$

What to use for $\lim_{n\to \infty}\int_{[0,1]}\frac{n\sin{x}}{1+n^2\sqrt{x}}dx$

prove that null set product $R^n$ is of measure zero

Conditional expectation w.r.t. union of sub algebras

Show that the composition of a sub-invariant measure with a sub-Markov kernel is a contraction on $L^p$

Shape of $\{a>0:\int |f|^a \text{d}\mu<\infty\}$

If $E \subset R$ and $m(E) \gt 0$ , can we find a surjective function that maps $E$ to $R$ ?

Why is $\mathscr{A}_{\infty}=\bigcup_{n\in\mathbb{N}} \mathscr{A}_n$ never a $\sigma$-algebra?

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