Kurzweil-Henstock Integral in Riesz spaces

Indexed in: Scopus, EBSCO.

This Ebook is concerned with both the theory of the Kurzweil-Henstock integral and the basic facts on Riesz spaces. Moreover, even the so-called Šipoš integral, which has several applications in ...
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Kurzweil - Henstock Integral in Topological Spaces

Pp. 62-70 (9)

Antonio Boccuto, Beloslav Riecan and Marta Vrabelova

Abstract

We deal with the Kurzweil-Henstock integral for functions defined in an abstract compact topological space and taking values in Riesz spaces.

We introduce the theory and the fundamental properties, and in particular we prove the monotone convergence theorem.