An equivalent definition of the vector-valued McShane integral by means of partitions of unity
Volume 151 / 2002
Studia Mathematica 151 (2002), 175-185
MSC: 28B05, 46G10.
DOI: 10.4064/sm151-2-5
Abstract
An integral for vector-valued functions on a $\sigma $-finite outer regular quasi-Radon measure space is defined by means of partitions of unity and it is shown that it is equivalent to the McShane integral. The multipliers for both the McShane and Pettis integrals are characterized.
