Details

Autor(en) / Beteiligte

• LANDERS, DIETER
• ROGGE, LOTHAR

Titel

DOMINATED AND UNIFORMLY DOMINATED FAMILIES OF LOEB-MEASURES

Ist Teil von

• Mathematica scandinavica, 1988-01, Vol.63 (2), p.233-237

Ort / Verlag

København: DANSK MATEMATISK FORENING / ÍSLENZKA STÆRÐFRAÆÐAFÉLAGIÐ / NORSK MATEMATISK FORENING

Erscheinungsjahr

1988

Link zum Volltext

Quelle

Single Journals

Beschreibungen/Notizen

• It is shown in this paper that each dominated family of Loeb-measures, derived from an internal family of probability contents, is uniformly dominated. As a corollary we obtain some surprising "nonstandard equivalences" for uniform domination in the standard world. An essential tool is an extension of a well-known theorem of Halmos and Savage which is proven by nonstandard methods in a rather direct way.