Kurzweil-Henstock Integral in Riesz spaces

Pettis-type Approach

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

Pp: 166-177 (12)

DOI: 10.2174/978160805003110901010166

* (Excluding Mailing and Handling)


In this chapter we begin with investigating the Pettis, Bochner, Gelfand, Dunford, McShane and Kurzweil- Henstock integrals in the context of Banach spaces, and give some comparison results.

Furthermore, we introduce the Pettis-Kurzweil-Henstock integral for Riesz space-valued functions, giving a Hake-type convergence theorem and a version of the Levi monotone convergence theorem.

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