Chapter 11

Pettis-type Approach

Antonio Boccuto, Beloslav Riecan and Marta Vrabelova

Abstract

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. </p> <p> 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.

Total Pages: 166-177 (12)

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