Question

Is $X$ a Borel subset of $\beta X$?

score 63 · Answer 1 · 2020-07-27 17:58:44

63

Views

Is $X$ a Borel subset of $\beta X$?

Published on 27 Jul 2020 - 17:58

score 104 · Answer 2 · 2023-01-30 21:59:36

104

Views

A question on zero set of a real analytic function of two variables

Published on 30 Jan 2023 - 21:59

score 48 · Answer 3 · 2023-02-01 14:20:48

48

Views

If $\lim_n \mu_n ([0, r]) = \mu ([0, r])$ for all $r \in D$, then $\mu_n \to \mu$ in distribution

Published on 01 Feb 2023 - 14:20

score 247 · Answer 4 · 2023-02-06 15:50:34

247

Views

When is a Borel measure locally finite?

Published on 06 Feb 2023 - 15:50

score 128 · Answer 5 · 2023-02-16 13:57:15

128

Views

Proving a sigma algebra

Published on 16 Feb 2023 - 13:57

score 166 · Answer 6 · 2023-02-18 22:53:16

166

Views

Definition of a finite vector-valued Radon measure: isn't this condition vacuous?

Published on 18 Feb 2023 - 22:53

score 49 · Answer 7 · 2023-02-19 09:37:57

49

Views

Show that $(-\infty,0) \in \sigma(M)$ where $M:=\left \{(0, ∞) \right \} \cup \left \{ (-\frac{1}{n},\frac{1}{n}): n \in \mathbb{N} \right \}$

Published on 19 Feb 2023 - 9:37

score 24 · Answer 8 · 2026-02-23 06:37:55

24

Views

Why does it suffice to define the homogeneous projection operator by only testing with continuous instead of measurable functions?

Published on 23 Feb 2026 - 6:37

score 81 · Answer 9 · 2023-02-23 01:54:10

81

Views

Two measures over different spaces with the same integral

Published on 23 Feb 2023 - 1:54

score 48 · Answer 10 · 2023-02-23 21:04:01

48

Views

Measurability of a map constructed by a family of measurable function

Published on 23 Feb 2023 - 21:04

score 36 · Answer 11 · 2023-02-25 10:47:04

36

Views

$\sigma$-compact and weak* convergence

Published on 25 Feb 2023 - 10:47

score 145 · Answer 12 · 2023-03-04 13:24:42

145

Views

Showing that $\mathrm{support}(\mu\ast\nu)=\mathrm{support}(\mu)+\mathrm{support}(\nu)$ when $\mathrm{support}(\mu),\mathrm{support}(\nu)$ are compact

Published on 04 Mar 2023 - 13:24

score 88 · Answer 13 · 2023-03-05 11:12:46

88

Views

Showing that the convolution of two Borel measures is a Borel measure

Published on 05 Mar 2023 - 11:12

score 46 · Answer 14 · 2023-03-06 21:23:13

46

Views

M is Borel measurable? $0<\lambda^3 (M)< \infty$

Published on 06 Mar 2023 - 21:23

score 48 · Answer 15 · 2023-03-09 14:18:26

48

Views

$\mathcal X_A · f : \mathbb R^n →\mathbb R$ is $B(\mathbb R^n)-B(\mathbb R)$-measurable and integrable?

Published on 09 Mar 2023 - 14:18

List Question

Is $X$ a Borel subset of $\beta X$?

A question on zero set of a real analytic function of two variables

If $\lim_n \mu_n ([0, r]) = \mu ([0, r])$ for all $r \in D$, then $\mu_n \to \mu$ in distribution

When is a Borel measure locally finite?

Proving a sigma algebra

Definition of a finite vector-valued Radon measure: isn't this condition vacuous?

Show that $(-\infty,0) \in \sigma(M)$ where $M:=\left \{(0, ∞) \right \} \cup \left \{ (-\frac{1}{n},\frac{1}{n}): n \in \mathbb{N} \right \}$

Why does it suffice to define the homogeneous projection operator by only testing with continuous instead of measurable functions?

Two measures over different spaces with the same integral

Measurability of a map constructed by a family of measurable function

$\sigma$-compact and weak* convergence

Showing that $\mathrm{support}(\mu\ast\nu)=\mathrm{support}(\mu)+\mathrm{support}(\nu)$ when $\mathrm{support}(\mu),\mathrm{support}(\nu)$ are compact

Showing that the convolution of two Borel measures is a Borel measure

M is Borel measurable? $0<\lambda^3 (M)< \infty$

$\mathcal X_A · f : \mathbb R^n →\mathbb R$ is $B(\mathbb R^n)-B(\mathbb R)$-measurable and integrable?

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