Question

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

score 48 · Answer 1 · 2026-03-25 16:03:49

48

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

Published on 25 Mar 2026 - 16:03

score 40 · Answer 2 · 2026-03-25 14:21:02

40

Views

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

Published on 25 Mar 2026 - 14:21

score 190 · Answer 3 · 2026-03-25 17:37:43

190

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

Published on 25 Mar 2026 - 17:37

score 206 · Answer 4 · 2026-05-11 00:40:29

206

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Definition of (Finite) Signed Measure

Published on 11 May 2026 - 0:40

score 168 · Answer 5 · 2026-03-25 17:45:40

168

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Signed Borel Measures and Functions of Bounded Variation

Published on 25 Mar 2026 - 17:45

score 122 · Answer 6 · 2026-03-25 17:39:28

122

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

Published on 25 Mar 2026 - 17:39

score 140 · Answer 7 · 2026-03-25 17:37:47

140

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Is arbitrary union of positive sets a positive set?

Published on 25 Mar 2026 - 17:37

score 786 · Answer 8 · 2026-03-25 16:01:35

786

Views

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

Published on 25 Mar 2026 - 16:01

score 240 · Answer 9 · 2026-03-25 14:23:49

240

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

Published on 25 Mar 2026 - 14:23

score 53 · Answer 10 · 2026-03-25 15:59:00

53

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When are signed measures isomorphic to a RKHS?

Published on 25 Mar 2026 - 15:59

score 206 · Answer 11 · 2026-03-25 19:06:26

206

Views

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

Published on 25 Mar 2026 - 19:06

score 116 · Answer 12 · 2026-03-25 14:21:01

116

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Finiteness of signed measure

Published on 25 Mar 2026 - 14:21

score 65 · Answer 13 · 2026-03-25 17:45:36

65

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On the null set of absolute continuous signed measure

Published on 25 Mar 2026 - 17:45

score 59 · Answer 14 · 2026-03-25 16:03:41

59

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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 25 Mar 2026 - 16:03

score 96 · Answer 15 · 2026-03-25 14:27:19

96

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 Mar 2026 - 14:27

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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