Difference between revisions of "Talk:Signed measure"
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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) --[[User:Jjg|Jjg]] 01:34, 31 July 2012 (CEST) | 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) --[[User:Jjg|Jjg]] 01:34, 31 July 2012 (CEST) | ||
+ | : I saw it sometimes, but indeed, $\left\|\cdot\right\|_B$ is standard. --[[User:Boris Tsirelson|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 | I put below a leftover of the page: I am not familiar with the topic of the comment and I am not sure |
Revision as of 05:41, 31 July 2012
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) |
Signed measure. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Signed_measure&oldid=27279