Kurzweil-Henstock Integral in Riesz spaces

Elementary Theory of Riesz Spaces

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

Pp: 25-41 (17)

Doi: 10.2174/978160805003110901010025

* (Excluding Mailing and Handling)

Abstract

In this chapter we deal with the fundamental properties of lattice groups and Riesz spaces. We introduce the concepts of order and (D)-convergence, weak σ-distributivity and Egorov property and prove some related results. We deal also with order bounded and order continuous linear functionals in the setting of Riesz spaces. Finally we introduce the Maeda-Ogasawara-Vulikh representation theorem.

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