IJPAM: Volume 88, No. 2 (2013)
RADON-NIKODYM THEOREM WITH DANIELL SCHEME
Hiroki Saito
Tokyo Metropolitan University
1-1 Minami-Ohsawa, Hachioji-shi Tokyo, 192-0397, JAPAN
Tokyo Metropolitan University
1-1 Minami-Ohsawa, Hachioji-shi Tokyo, 192-0397, JAPAN
Abstract. We give a new formulation of the Radon-Nikodym density
based on Daniell scheme.
Our main result is applicable to arbitrary measure spaces,
in particular,
not necessarily localizable.
Furthermore,
we discuss the relationships between our results and localizable
measure spaces,
and give an example of the measure space which
fails to be localizable
but has a certain Radon-Nidkoym density
for absolutely continuous measures.
Received: June 27, 2013
AMS Subject Classification: 28B99, 46B22
Key Words and Phrases: Daniell scheme, folder, Radon-Nikodym density
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DOI: 10.12732/ijpam.v88i2.5 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 88
Issue: 2
