Kurzweil-Henstock Integral in Riesz spaces

Kurzweil - Henstock Integral with Values in Riesz Spaces

Author(s): Antonio Boccuto, Beloslav Riecan and Marta Vrabelova

Pp: 42-51 (10)

Doi: 10.2174/978160805003110901010042

* (Excluding Mailing and Handling)

Abstract

In this chapter we present the basic properties and results on the Kurzweil-Henstock integral for Riesz spacevalued functions, defined on a bounded subinterval of the real line. We prove the uniform convergence theorem, and introduce also the Kurzweil-Stieltjes integral and some of its elementary properties.

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