Question

Define a Radon measure on $[0,1]$ using linear functionals

score 166 · Answer 1 · 2026-03-25 12:22:40

166

Views

Define a Radon measure on $[0,1]$ using linear functionals

Published on 25 Mar 2026 - 12:22

score 87 · Answer 2 · 2026-03-25 12:27:21

87

Views

Show that Borel measure on compact metric is small when diameter of the set is small

Published on 25 Mar 2026 - 12:27

score 791 · Answer 3 · 2026-03-25 12:25:33

791

Views

Applications of Riesz-Markov-Kakutani Theorem.

Published on 25 Mar 2026 - 12:25

score 349 · Answer 4 · 2026-03-25 12:25:33

349

Views

Is a weakly convergent sequence of Borel measures always tight?

Published on 25 Mar 2026 - 12:25

score 97 · Answer 5 · 2026-03-25 12:28:14

97

Views

If $\mu$ is a signed, finite Borel measure on $[0,1]$, is there $a \in (0,1)$ such that $\mu([a,1]) \neq 0$?

Published on 25 Mar 2026 - 12:28

score 63 · Answer 6 · 2026-03-25 12:29:35

63

Views

Measurability of the sup norm functional

Published on 25 Mar 2026 - 12:29

score 55 · Answer 7 · 2026-03-25 12:24:49

55

Views

Defintion of random probability measure

Published on 25 Mar 2026 - 12:24

score 63 · Answer 8 · 2026-03-25 12:27:08

63

Views

Good reference for measure theory on Borel algebras of schemes

Published on 25 Mar 2026 - 12:27

score 234 · Answer 9 · 2026-03-25 12:27:10

234

Views

Lebesgue-continuous Borel probability measures on $[0, 1)$ ergodic with respect to the doubling map $Tx = 2x \mod 1$

Published on 25 Mar 2026 - 12:27

score 30 · Answer 10 · 2026-03-25 12:27:06

30

Views

Is there a non-regular strictly positive finite Borel measure on a compact Hausdorff space?

Published on 25 Mar 2026 - 12:27

score 103 · Answer 11 · 2026-03-25 12:27:22

103

Views

Space of ergodic measures is $G_\delta$ in space of invariant measures

Published on 25 Mar 2026 - 12:27

score 170 · Answer 12 · 2026-03-25 12:26:06

170

Views

Weak topology and total variation on absolutely continuous probability measures induce the same Borel $\sigma$-field

Published on 25 Mar 2026 - 12:26

score 141 · Answer 13 · 2026-03-25 12:25:31

141

Views

A set with positive Lebesgue Measure and not Borel measurable

Published on 25 Mar 2026 - 12:25

score 52 · Answer 14 · 2026-03-25 12:28:13

52

Views

Find a Borel measure $\mu$ such that $\int_0^1 f(t) d\mu(t)=\Lambda f, \forall f\in C[0,1]$

Published on 25 Mar 2026 - 12:28

score 183 · Answer 15 · 2026-03-25 12:29:35

183

Views

Does the set of limit points always have measure zero?

Published on 25 Mar 2026 - 12:29

List Question

Define a Radon measure on $[0,1]$ using linear functionals

Show that Borel measure on compact metric is small when diameter of the set is small

Applications of Riesz-Markov-Kakutani Theorem.

Is a weakly convergent sequence of Borel measures always tight?

If $\mu$ is a signed, finite Borel measure on $[0,1]$, is there $a \in (0,1)$ such that $\mu([a,1]) \neq 0$?

Measurability of the sup norm functional

Defintion of random probability measure

Good reference for measure theory on Borel algebras of schemes

Lebesgue-continuous Borel probability measures on $[0, 1)$ ergodic with respect to the doubling map $Tx = 2x \mod 1$

Is there a non-regular strictly positive finite Borel measure on a compact Hausdorff space?

Space of ergodic measures is $G_\delta$ in space of invariant measures

Weak topology and total variation on absolutely continuous probability measures induce the same Borel $\sigma$-field

A set with positive Lebesgue Measure and not Borel measurable

Find a Borel measure $\mu$ such that $\int_0^1 f(t) d\mu(t)=\Lambda f, \forall f\in C[0,1]$

Does the set of limit points always have measure zero?

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