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Czechoslovak Mathematical Journal

, Volume 69, Issue 1, pp 45–53 | Cite as

A Remark on Weak McShane Integral

  • Kazushi YoshitomiEmail author
Article
  • 16 Downloads

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 

MSC 2010

28B05 

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Copyright information

© Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic 2018

Authors and Affiliations

  1. 1.Department of Mathematics and Information SciencesTokyo Metropolitan UniversityTokyoJapan

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