Abstract
In this short note, we give a simple proof of the Sobczyk-Hammer Decomposition Theorem in terms of Dedekind complete Riesz spaces.
Citation
Zafer Ercan. "A New Proof of the Sobczyk-Hammer Decomposition Theorem." Real Anal. Exchange 37 (2) 489 - 492, 2011/2012.
Information
Published: 2011/2012
First available in Project Euclid: 15 April 2013
MathSciNet: MR3080608
zbMATH: 1276.28005
Subjects:
Primary:
26A04
,
28A10
Secondary:
26A05
Keywords:
charge
,
finitely additive measure
,
Riesz space
Rights: Copyright © 2011 Michigan State University Press