Question

A technical detail in the proof of the Hahn Decomposition Theorem on Wikipedia

score 47 · Answer 1 · 2021-10-05 03:25:43

47

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A technical detail in the proof of the Hahn Decomposition Theorem on Wikipedia

Published on 05 Oct 2021 - 3:25

score 39 · Answer 2 · 2021-10-06 10:04:42

39

Views

Showing $\big|E[X]-E[Y]\big|\leq 2\Delta$

Published on 06 Oct 2021 - 10:04

score 189 · Answer 3 · 2021-10-11 14:06:09

189

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Integration with respect to $\nu=\mu_1-\mu_2$

Published on 11 Oct 2021 - 14:06

score 204 · Answer 4 · 2021-10-24 22:53:34

204

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Definition of (Finite) Signed Measure

Published on 24 Oct 2021 - 22:53

score 167 · Answer 5 · 2021-10-31 21:12:36

167

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Signed Borel Measures and Functions of Bounded Variation

Published on 31 Oct 2021 - 21:12

score 121 · Answer 6 · 2021-11-02 17:25:22

121

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Total Variation of a Borel Measure vs Total Variation of a Function

Published on 02 Nov 2021 - 17:25

score 139 · Answer 7 · 2021-11-10 02:01:46

139

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Is arbitrary union of positive sets a positive set?

Published on 10 Nov 2021 - 2:01

score 785 · Answer 8 · 2021-11-15 03:07:05

785

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Two finite positive measures are mutually singular if and only if their minimum is zero.

Published on 15 Nov 2021 - 3:07

score 239 · Answer 9 · 2021-11-29 17:04:00

239

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Is every set with sign measure non-negative is a positive set?

Published on 29 Nov 2021 - 17:04

score 52 · Answer 10 · 2021-12-02 02:12:21

52

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When are signed measures isomorphic to a RKHS?

Published on 02 Dec 2021 - 2:12

score 205 · Answer 11 · 2021-12-05 01:34:46

205

Views

Is it possible to determine the sign of the determinant of a matrix without knowing/using the formula for the determinant?

Published on 05 Dec 2021 - 1:34

score 115 · Answer 12 · 2022-01-19 15:35:02

115

Views

Finiteness of signed measure

Published on 19 Jan 2022 - 15:35

score 64 · Answer 13 · 2022-04-13 23:41:36

64

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On the null set of absolute continuous signed measure

Published on 13 Apr 2022 - 23:41

score 58 · Answer 14 · 2022-04-24 21:21:09

58

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For which $p \in \mathbb R$ does a signed measure on $([0, 1], \mathcal B([0, 1]))$ exist such that $\mu([0, x]) = x^p \sin(1/x)$?

Published on 24 Apr 2022 - 21:21

score 95 · Answer 15 · 2022-04-25 18:04:09

95

Views

Show that a set function is sigma additive on an algebra, but not extendable to a signed measure on the generated sigma algebra.

Published on 25 Apr 2022 - 18:04

List Question

A technical detail in the proof of the Hahn Decomposition Theorem on Wikipedia

Showing $\big|E[X]-E[Y]\big|\leq 2\Delta$

Integration with respect to $\nu=\mu_1-\mu_2$

Definition of (Finite) Signed Measure

Signed Borel Measures and Functions of Bounded Variation

Total Variation of a Borel Measure vs Total Variation of a Function

Is arbitrary union of positive sets a positive set?

Two finite positive measures are mutually singular if and only if their minimum is zero.

Is every set with sign measure non-negative is a positive set?

When are signed measures isomorphic to a RKHS?

Is it possible to determine the sign of the determinant of a matrix without knowing/using the formula for the determinant?

Finiteness of signed measure

On the null set of absolute continuous signed measure

For which $p \in \mathbb R$ does a signed measure on $([0, 1], \mathcal B([0, 1]))$ exist such that $\mu([0, x]) = x^p \sin(1/x)$?

Show that a set function is sigma additive on an algebra, but not extendable to a signed measure on the generated sigma algebra.

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