Abstract
Let \(\mathcal{A}\) and \(\mathcal{B}\) be fields of subsets of a set \({\Omega}\), let \({\bf X}\) be a normed space with the Hahn-Banach extension property and let \({\mu: {\mathcal A}\rightarrow {\bf X}}\) and \({\nu: {\mathcal B} \rightarrow {\bf X}}\) be consistent, bounded, vector measures. We give necessary and sufficient conditions for \({\mu}\) and \({\nu}\) to have a bounded common extension to \({{\mathcal A} \vee {\mathcal B}}\), generalizing already known results for real valued charges.
Citation
E. D’Aniello. A. Hirshberg. K. P. S. Bhaskara Rao. R. M. Shortt. "Bounded common extensions of vector measures." Real Anal. Exchange 22 (2) 766 - 774, 1996/1997.
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