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Difference between revisions of "Talk:Radon measure"

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(Created page with "Texxed, add references and links, categorized, add mathscinet and Zentralblatt numbers. Made a few cosmetic changes here and there. ~~~~")
 
 
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Texxed, add references and links, categorized, add mathscinet and Zentralblatt numbers.
 
Texxed, add references and links, categorized, add mathscinet and Zentralblatt numbers.
 
Made a few cosmetic changes here and there. [[User:Camillo.delellis|Camillo]] 15:15, 21 July 2012 (CEST)
 
Made a few cosmetic changes here and there. [[User:Camillo.delellis|Camillo]] 15:15, 21 July 2012 (CEST)
 +
: I made a restyling of the page but also changed some things. In particular, the original paper had the following definition "A Radon measure is a finite measure $\mu$ on the Borel $\sigma$-algebra of $X$ with the property that for any $\varepsilon$ there is a compact set $K$ such that $\mu (X\setminus K)<\varepsilon$." and gave the tightness as a corollary. I could not find this approach in any book and I am indeed suspicious that the claim is really correct on a general Hausdorff space. I therefore prefer to take inner regularity as a definition, which seems what all authors do, though with some small variations. [[User:Camillo.delellis|Camillo]] 19:04, 17 August 2012 (CEST)

Latest revision as of 17:04, 17 August 2012

Texxed, add references and links, categorized, add mathscinet and Zentralblatt numbers. Made a few cosmetic changes here and there. Camillo 15:15, 21 July 2012 (CEST)

I made a restyling of the page but also changed some things. In particular, the original paper had the following definition "A Radon measure is a finite measure $\mu$ on the Borel $\sigma$-algebra of $X$ with the property that for any $\varepsilon$ there is a compact set $K$ such that $\mu (X\setminus K)<\varepsilon$." and gave the tightness as a corollary. I could not find this approach in any book and I am indeed suspicious that the claim is really correct on a general Hausdorff space. I therefore prefer to take inner regularity as a definition, which seems what all authors do, though with some small variations. Camillo 19:04, 17 August 2012 (CEST)
How to Cite This Entry:
Radon measure. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Radon_measure&oldid=27627