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- W2021286067 abstract "Applying a property concerning certain coverings of lg°(X,s/) that always contain some elements that are barrelled and dense in Iq°(X , sf), we generalize a localization theorem of M. Valdivia, relative to vector bounded finitely additive measures (Theorem 1), and obtain two different generalizations of a theorem of J. Diestel and B. Faires ensuring that certain finitely additive measures are countably additive (Theorems 2 and 3). The original proof of the quoted theorem of Diestel and Faires uses a theorem of Rosenthal that is not required in our proof of Theorem 3. This avoids imposing over the Valdivia's Ar-spaces defining the measure range space, the condition that they do not contain a copy of /°° ." @default.
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- W2021286067 date "1992-04-01" @default.
- W2021286067 modified "2023-09-24" @default.
- W2021286067 title "A note on a theorem of J. Diestel and B. Faires" @default.
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- W2021286067 doi "https://doi.org/10.1090/s0002-9939-1992-1091179-5" @default.
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