Scientiae Mathematicae Japonicae
Online ISSN : 1346-0447
CONVERGENCE THEOREMS FOR THE HENSTOCK-KURZWEIL INTEGRAL TAKING VALUES IN A VECTOR LATTICE
Toshiharu Kawasaki
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2012 Volume 75 Issue 2 Pages 223-233

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Abstract
In previous papers we defined a Denjoy integral and a Henstock-Kurzweil integral of mappings from a vector lattice into a complete vector lattice. In this paper we consider some convergence theorems for the Henstock-Kurzweil integral of mappings from a vector lattice with unit satisfying the principal projection property, in particular the real line, into a complete vector lattice.
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© 2012 International Society for Mathematical Sciences
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