List questions from signed-measures | MathQA

Definition of a signed measure in Folland and its meaning when the signed measure is not finite

Published on 19 Nov 2022 - 18:39

How to prove $\nu(A) := \sum_{k\in A}a_k$ is a signed measure on $(\mathbb{N},\mathcal{P}(\mathbb{N}))$

Published on 22 Nov 2022 - 16:19

A Question about Real Analysis by Folland

Published on 23 Nov 2022 - 10:42

Let $\mu,\nu$ be two finite positive measures. Show that, there is a set $E$ such that $\mu_E\ll\nu_E$ and $\mu_{E^c}\perp\nu_{E^c}$

Published on 07 Dec 2022 - 6:53

A couple of questions regarding a short proof of the Jordan Decomposition Theorem.

Published on 08 Dec 2022 - 22:15

Question regarding derivative and measures

Published on 20 Jan 2023 - 20:08

Need help understanding definition of total variation metric of two probability measures

Published on 21 Jan 2023 - 9:25

Equivalent formulation of the variation of a signed measure

Published on 26 Jan 2023 - 17:17