Schwabik Š., Guoju Ye. Topics in Banach Space Integration

World Scientific Publishing Co. Pte. Ltd., 2005. — 313 p. — (Real Analysis 10) — ISBN: 981-256-428-4.A general integration theory based on the concept of Riemanntype integral sums was initiated around 1960 by Jaroslav Kurzweil and independently by Ralph Henstock. Much of this theory can be presented at the level of undergraduate courses and this fact is reflected in the growing number of university textbooks or elementary expositions which include at least elementary facts about the Henstock-Kurzweil theory.Bochner Integral
Dunford and Pettis Integrals
McShane and Henstock-Kurzweil Integrals
More on the McShane Integra
Comparison of the Bochner and McShane Integrals
Comparison of the Pettis and McShane Integrals
Primitive of the McShane and Henstock- Kurzweil Integrals
Generalizations of Some Integrals
Appendixes
Classical Banach Spaces
Series in Banach Spaces