Question

Uniform convergence of integrals over a parameter

score 160 · Answer 1 · 2026-04-15 20:25:40

160

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Uniform convergence of integrals over a parameter

Published on 15 Apr 2026 - 20:25

score 340 · Answer 2 · 2026-04-13 22:19:19

340

Views

Toral automorphism has positive entropy iff $\mu \left( (B+tv^-) \cap B \right) >0$ for infinitely many $t$

Published on 13 Apr 2026 - 22:19

score 1.1k · Answer 3 · 2026-04-11 22:04:36

1.1k

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Convergence in probability of sequence of independent random variables implies almost sure convergence of their sum?

Published on 11 Apr 2026 - 22:04

score 1.7k · Answer 4 · 2026-04-14 23:30:30

1.7k

Views

Convergence of distribution functions implies weak convergence of associated probability measures

Published on 14 Apr 2026 - 23:30

score 150 · Answer 5 · 2026-04-18 14:53:08

150

Views

Orthogonal group representation induces an isometry on $L^p$ spaces

Published on 18 Apr 2026 - 14:53

score 352 · Answer 6 · 2026-04-11 20:30:03

352

Views

Is a function measurable on subset if its measurable on set?

Published on 11 Apr 2026 - 20:30

score 668 · Answer 7 · 2026-04-12 01:41:58

668

Views

Weak Convergence of Average of Dirac-delta to Lebesgue-measure on Unit Interval

Published on 12 Apr 2026 - 1:41

score 114 · Answer 8 · 2026-04-17 08:48:31

114

Views

Let $E$ be a Lebesgue measurable subset of $\mathbb{R} $ and let $A \subset \mathbb{R} $.Show that $m^(E \cap A) + m^(E \cup A)=m^(E)+ m^(A)$.

Published on 17 Apr 2026 - 8:48

score 174 · Answer 9 · 2026-04-12 19:39:14

174

Views

$L^p(E)$ Measure Space is Separable

Published on 12 Apr 2026 - 19:39

score 101 · Answer 10 · 2026-04-16 05:31:38

101

Views

Prove or disprove: if $\mu(E) > 0$, then $\int_E \int_E \frac{dx\,dy}{|x-y|} = \infty.$

Published on 16 Apr 2026 - 5:31

score 326 · Answer 11 · 2026-04-16 08:50:10

326

Views

$L^1$ convergence implies pointwise a.e. uniform bound of a subsequence

Published on 16 Apr 2026 - 8:50

score 99 · Answer 12 · 2026-04-11 06:37:51

99

Views

Lebesgue measure using compact sets

Published on 11 Apr 2026 - 6:37

score 269 · Answer 13 · 2026-04-12 15:00:58

269

Views

Theorem Before Riesz Representation Theorem

Published on 12 Apr 2026 - 15:00

score 461 · Answer 14 · 2026-04-16 08:15:00

461

Views

Sigma algebra of a collection of sets.

Published on 16 Apr 2026 - 8:15

score 37 · Answer 15 · 2026-04-11 21:52:19

37

Views

Show the following measure theory result.

Published on 11 Apr 2026 - 21:52

List Question

Uniform convergence of integrals over a parameter

Toral automorphism has positive entropy iff $\mu \left( (B+tv^-) \cap B \right) >0$ for infinitely many $t$

Convergence in probability of sequence of independent random variables implies almost sure convergence of their sum?

Convergence of distribution functions implies weak convergence of associated probability measures

Orthogonal group representation induces an isometry on $L^p$ spaces

Is a function measurable on subset if its measurable on set?

Weak Convergence of Average of Dirac-delta to Lebesgue-measure on Unit Interval

Let $E$ be a Lebesgue measurable subset of $\mathbb{R} $ and let $A \subset \mathbb{R} $.Show that $m^(E \cap A) + m^(E \cup A)=m^(E)+ m^(A)$.

$L^p(E)$ Measure Space is Separable

Prove or disprove: if $\mu(E) > 0$, then $\int_E \int_E \frac{dx\,dy}{|x-y|} = \infty.$

$L^1$ convergence implies pointwise a.e. uniform bound of a subsequence

Lebesgue measure using compact sets

Theorem Before Riesz Representation Theorem

Sigma algebra of a collection of sets.

Show the following measure theory result.

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