Abstract
The purpose of this article is to prove Hahn Decomposition type and Jordan Decomposition type theorems for measures on \(\sigma\)-semirings. These results generalize the classical theorems for measures on \(\sigma\)-algebras.
Citation
Z. Ercan. "On the Hahn decomposition theorem.." Real Anal. Exchange 28 (2) 611 - 616, 2002/2003.
Information
Published: 2002/2003
First available in Project Euclid: 20 July 2007
zbMATH: 1059.28002
MathSciNet: MR2010341
Subjects:
Primary:
28A12
Secondary:
28A95
Keywords:
Hahn decomposition theorem
,
positive-negative sets
,
Semirings
Rights: Copyright © 2002 Michigan State University Press