Difference between revisions of "Talk:Signed measure"
(Created page with "I put here a leftover of the page: I am not familiar with the topic of the comment and I am not sure it is truly relevant ~~~~ ====Comments==== A charge is also called a sig...") |
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| − | I put | + | 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) | ||
| + | :: done --[[User:Jjg|Jjg]] 13:09, 31 July 2012 (CEST) | ||
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| + | 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 [[User:Camillo.delellis|Camillo]] 00:11, 28 July 2012 (CEST) | it is truly relevant [[User:Camillo.delellis|Camillo]] 00:11, 28 July 2012 (CEST) | ||
| + | I have added some material about the Hahn decomposition theorem which was contained in [[Absolute continuity]]. [[User:Camillo.delellis|Camillo]] 22:22, 29 July 2012 (CEST) | ||
====Comments==== | ====Comments==== | ||
Latest revision as of 11:09, 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)
- 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) |
Signed measure. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Signed_measure&oldid=27219