Academic Journal
On the inner Daniell-Stone and Riesz representation theorems
| Τίτλος: | On the inner Daniell-Stone and Riesz representation theorems |
|---|---|
| Συγγραφείς: | Heinz König |
| Πηγή: | Measure and Integration ISBN: 9783034803816 |
| Publication Status: | Preprint |
| Στοιχεία εκδότη: | European Mathematical Society - EMS - Publishing House GmbH, 2000. |
| Έτος έκδοσης: | 2000 |
| Θεματικοί όροι: | theorem of Kisyński, inner premeasures, Radon premeasures, Set functions and measures on topological spaces (regularity of measures, etc.), inner preintegrals, tightness, inner extension, 01 natural sciences, inner sources, inner extensions, Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures, positive (isotone) linear functionals, Radon measures, Contents, measures, outer measures, capacities, 0101 mathematics, Integration with respect to measures and other set functions, Radon preintegrals |
| Περιγραφή: | 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. |
| Τύπος εγγράφου: | Article Part of book or chapter of book Other literature type |
| Περιγραφή αρχείου: | application/xml |
| ISSN: | 1431-0643 1431-0635 |
| DOI: | 10.4171/dm/82 |
| DOI: | 10.1007/978-3-0348-0382-3_8 |
| DOI: | 10.22028/d291-26170 |
| Σύνδεσμος πρόσβασης: | https://zbmath.org/1477084 https://publikationen.sulb.uni-saarland.de/bitstream/20.500.11880/26226/1/preprint_12_00.pdf https://rd.springer.com/chapter/10.1007/978-3-0348-0382-3_8 http://scidok.sulb.uni-saarland.de/volltexte/2011/4279/ https://link.springer.com/chapter/10.1007/978-3-0348-0382-3_8 https://publikationen.sulb.uni-saarland.de/handle/20.500.11880/26226 https://link.springer.com/content/pdf/10.1007%2F978-3-0348-0382-3_8.pdf |
| Rights: | Springer TDM |
| Αριθμός Καταχώρησης: | edsair.doi.dedup.....bf1c5a22523f314ce537b9b05a38360c |
| Βάση Δεδομένων: | OpenAIRE |
| ISSN: | 14310643 14310635 |
|---|---|
| DOI: | 10.4171/dm/82 |