Czechoslovak Mathematical Journal, Vol. 69, No. 1, pp. 45-53, 2019


A remark on weak McShane integral

Kazushi Yoshitomi

Received March 31, 2017.   Published online August 6, 2018.

Abstract:  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.
Keywords:  weak McShane integral; finite McShane partition; Radon measure space
Classification MSC:  28B05


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Affiliations:   Kazushi Yoshitomi, Department of Mathematics and Information Sciences, Tokyo Metropolitan University, Minamiohsawa 1-1, Hachioji, Tokyo 192-0397, Japan, e-mail: yositomi@tmu.ac.jp


 
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