Barcenas, Diómedes; Panchapagesan, T. V. A generalization of Fubini’s theorem for Banach algebra-valued measures. (English) Zbl 0556.28010 Rev. Colomb. Mat. 18, 9-32 (1984). The well known Fubini’s theorem for Bochner integrals is generalized when the countably additive vector measures \(\mu_ 1\) and \(\mu_ 2\) of bounded variation on the \(\sigma\)-rings \(S_ 1\) and \(S_ 2\) and the vector valued function f(.,.) assume values in a Banach algebra X. No topological hypothesis such as local-compactness, regularity etc. is needed in the proof. Under such topological conditions the result is already known. N. Dinculeanu, ’Integration on locally compact spaces’ (1974; Zbl 0284.28003). MSC: 28B05 Vector-valued set functions, measures and integrals 28A35 Measures and integrals in product spaces 46G10 Vector-valued measures and integration Keywords:Banach algebra valued measures; Fubini’s theorem for Bochner integrals; countably additive vector measures; bounded variation Citations:Zbl 0284.28003 PDFBibTeX XMLCite \textit{D. Barcenas} and \textit{T. V. Panchapagesan}, Rev. Colomb. Mat. 18, 9--32 (1984; Zbl 0556.28010) Full Text: EuDML