Kurzweil-Henstock Integral in Riesz spaces

Convergence Theorems

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

Pp: 71-83 (13)

Doi: 10.2174/978160805003110901010071

* (Excluding Mailing and Handling)

Abstract

We continue to investigate the topics of Chapter 5, following the approach there introduced, and prove some versions of the Henstock Lemma, the Beppo Levi and the Lebesgue dominated convergence theorem.

Note that the involved measures and the domain of our functions can be even unbounded.

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