Axenic Culture and Induction of Callus and Sporophytes of the Appalachian Vittaria Gametophyte

Volume: 72Start Page: 36End Page: 4

The McShane, PU and Henstock integrals of Banach valued functions

summary:Some relationships between the vector valued Henstock and McShane integrals are investigated. An integral for vector valued functions, defined by means of partitions of the unity (the PU-integral) is studied. In particular it is shown that a vector valued function is McShane integrable if and only if it is both Pettis and PU-integrable. Convergence theorems for the Henstock variational and the PU integrals are stated. The families of multipliers for the Henstock and the Henstock variational integrals of vector valued functions are characterized