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A Remark on Weak McShane Integral

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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.

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Authors and Affiliations

  1. Department of Mathematics and Information Sciences, Tokyo Metropolitan University, Minamiohsawa 1-1, Hachioji, Tokyo, 192-0397, Japan

    Kazushi Yoshitomi

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  1. Kazushi Yoshitomi
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Correspondence to Kazushi Yoshitomi.

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Yoshitomi, K. A Remark on Weak McShane Integral. Czech Math J 69, 45–53 (2019). https://doi.org/10.21136/CMJ.2018.0153-17

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  • DOI: https://doi.org/10.21136/CMJ.2018.0153-17

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