Article
Keywords:
weak McShane integral; finite McShane partition; Radon measure space
Summary:
We characterize the weak McShane integrability of a vector-valued function on a finite Radon measure space by means of only finite McShane partitions. We also obtain a similar characterization for the Fremlin generalized McShane integral.
References:
[1] Bauer, H.:
Measure and Integration Theory. De Gruyter Studies in Mathematics 26. Walter de Gruyter, Berlin (2001).
MR 1897176 |
Zbl 0985.28001
[3] Fremlin, D. H.:
Topological Riesz Spaces and Measure Theory. Cambridge University Press, London (1974).
MR 0454575 |
Zbl 0273.46035