Geodesic
On the inner Daniell-Stone and Riesz representation theorems
Documenta mathematica, Tome 5 (2000), pp. 301-315
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The paper deals with the context of the inner Daniell-Stone and Riesz representation theorems, which arose within the new development in measure and integration in the book 1997 and subsequent work of the author. The theorems extend the traditional ones, in case of the Riesz theorem to arbitrary Hausdorff topological spaces. The extension enforces that the assertions attain different forms. The present paper wants to exhibit special situations in which the theorems retain their familiar appearance.
DOI : 10.4171/dm/82
Classification : 28A12, 28A25, 28C05, 28C15
Mots-clés : Radon measures, inner extensions, inner premeasures, Radon premeasures, positive (=isotone) linear functionals, inner sources, inner preintegrals, Radon preintegrals, tightness, theorem of kisyński 
@article{10_4171_dm_82,
     author = {Heinz K\"onig},
     title = {On the inner {Daniell-Stone} and {Riesz} representation theorems},
     journal = {Documenta mathematica},
     pages = {301--315},
     year = {2000},
     volume = {5},
     doi = {10.4171/dm/82},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/82/}
}
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Heinz König. On the inner Daniell-Stone and Riesz representation theorems. Documenta mathematica, Tome 5 (2000), pp. 301-315. doi: 10.4171/dm/82

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