# Talk:Signed measure

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)

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://www.encyclopediaofmath.org/index.php?title=Signed_measure&oldid=27279