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On Vector Measures
1974
Transactions of the American Mathematical Society
The four sections of this paper treat four different but somewhat related topics in the theory of vector measures. In §1 necessary and sufficient conditions for a Banach space X to have the property that bounded additive X-valued maps on o-algebras be strongly bounded are presented, namely, X can contain no copy of /". The next two sections treat the Jordan decomposition for measures with values in Z.|-spaces on c0(r) spaces and criteria for integrability of scalar functions with respect to
doi:10.2307/1996758
fatcat:4vvsm7gmx5dcpcx6wfgrmctatu