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)

Purchase Chapter  Book Details

RELATED BOOKS

.Advanced Mathematical Applications in Data Science.
.Markov Chain Process (Theory and Cases).
.Advances in Special Functions of Fractional Calculus: Special Functions in Fractional Calculus and Their Applications in Engineering.
.On Generalized Growth rates of Integer Translated Entire and Meromorphic Functions.