Open Access
2007/2008 Sobczyk-Hammer Decompositions and Convergence Theorems for Measures With Values in l-Groups
A. Boccuto, D. Candeloro
Real Anal. Exchange 33(1): 93-108 (2007/2008).

Abstract

We find a decomposition of the type of Sobczyk-Hammer for measures with values in $l$-groups, and also deduce some convergence theorems for such decompositions. Our procedure is based on some theorems of the type of Vitali-Hahn-Saks, and on the so-called Stone extension method.

Citation

Download Citation

A. Boccuto. D. Candeloro. "Sobczyk-Hammer Decompositions and Convergence Theorems for Measures With Values in l-Groups." Real Anal. Exchange 33 (1) 93 - 108, 2007/2008.

Information

Published: 2007/2008
First available in Project Euclid: 28 April 2008

zbMATH: 1155.28006
MathSciNet: MR2402865

Subjects:
Primary: 28A39 , 28B05 , 28B15 , 42C10 , 42C25 , 46G10

Keywords: $(RO)$-convergence , $l$-groups , Sobczyk-Hammer decomposition , uniform $s$-boundedness , uniform continuity , Vitali-Hahn-Saks theorems

Rights: Copyright © 2007 Michigan State University Press

Vol.33 • No. 1 • 2007/2008
Back to Top