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Could I suggest replacing $\left|\cdot\right|_B$ by $\left\|\cdot\right\|_B$ when denoting a Banach space norm (I have never seen the former) --Jjg 01:34, 31 July 2012 (CEST)

I saw it sometimes, but indeed, $\left\|\cdot\right\|_B$ is standard. --Boris Tsirelson 07:41, 31 July 2012 (CEST)
done --Jjg 13:09, 31 July 2012 (CEST)

I put below a leftover of the page: I am not familiar with the topic of the comment and I am not sure it is truly relevant Camillo 00:11, 28 July 2012 (CEST)

I have added some material about the Hahn decomposition theorem which was contained in Absolute continuity. Camillo 22:22, 29 July 2012 (CEST)

Comments

A charge is also called a signed measure [a1], a real measure or a signed content. It can, more generally, be defined on a ring of subsets of a space , or, alternatively, on a Riesz space of functions on , see [a2].

References

[a1] E. Hewitt, K.R. Stromberg, "Real and abstract analysis" , Springer (1965)
[a2] K. Jacobs, "Measure and integral" , Acad. Press (1978)
How to Cite This Entry:
Signed measure. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Signed_measure&oldid=27281