Integration in Banach spaces (Q2505004)

This paper contains definitions of the Henstock-Kurzweil (McShane) and strong Henstock-Kurzweil (McShane) integrals for functions with values in a Banach space and gives statements of theorems for these integrals and their relationships to the Pettis and Bochner integrals. Details and proofs of the results and more information can be found in the author's book [\textit{S. Schwabik} and \textit{G. Ye}, ``Topics in Banach space integration'' (2005; Zbl 1088.28008)].