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Lizenz
Preprint (Vorabdruck) zugänglich unter
New version of the Daniell-Stone-Riesz representation theorem
URN: urn:nbn:de:bsz:291-scidok-46668
URL: http://scidok.sulb.uni-saarland.de/volltexte/2012/4666/
pdf-Format:
Dokument 1.pdf (191 KB)
Institut:
Fachrichtung 6.1 - Mathematik
DDC-Sachgruppe:
Mathematik
Dokumentart:
Preprint (Vorabdruck)
Schriftenreihe:
Preprint / Fachrichtung Mathematik, Universität des Saarlandes
Bandnummer:
179
Sprache:
Englisch
Erstellungsjahr:
2006
Publikationsdatum:
13.03.2012
Kurzfassung auf Englisch:
The traditional representation theorems after Daniell-Stone and Riesz were in a kind of separate existence until Pollard-Topsøe 1975 and Topsøe 1976 were the first to put them under common roofs. In the same spirit the present article wants to obtain a unified representation theorem in the context of the author';s work in measure and integration. It is an inner theorem like the previous ones. The basis is the recent comprehensive inner Daniell-Stone theorem, so that in particular there are no a priori assumptions on the additive behaviour of the data.
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