Abstract
In a compact Hausdorff measure space we define an integral by partitions of the unity and prove that it is nonabsolutely convergent.
Citation
Giuseppa Riccobono. "A Riemann-type integral on a measure space." Real Anal. Exchange 30 (1) 329 - 338, 2004-2005.
Information
Published: 2004-2005
First available in Project Euclid: 27 July 2005
zbMATH: 1090.28003
MathSciNet: MR2127538
Subjects:
Primary:
28A25
Keywords:
$PU^*$-integral
,
Lebesgue measure
,
partition of unity
Rights: Copyright © 2004 Michigan State University Press