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Denjoy integral and Henstock-Kurzweil integral in vector lattices, II

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Abstract

In a previous paper we defined a Denjoy integral for mappings from a vector lattice to a complete vector lattice. In this paper we define a Henstock-Kurzweil integral for mappings from a vector lattice to a complete vector lattice and consider the relation between these two integrals.

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Authors and Affiliations

  1. College of Engineering, Nihon University, Fukushima, 963-8642, Japan

    Toshiharu Kawasaki

  2. Department of Information Systems, Tokyo University of Information Sciences, Chiba, 265-8501, Japan

    Toshiharu Kawasaki

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  1. Toshiharu Kawasaki
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Correspondence to Toshiharu Kawasaki.

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Kawasaki, T. Denjoy integral and Henstock-Kurzweil integral in vector lattices, II. Czech Math J 59, 401–417 (2009). https://doi.org/10.1007/s10587-009-0028-0

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  • DOI: https://doi.org/10.1007/s10587-009-0028-0

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