Sequences in the range of a vector measure with bounded variation

Author:
Cándido Piñeiro

Journal:
Proc. Amer. Math. Soc. **123** (1995), 3329-3334

MSC:
Primary 46B20; Secondary 28B05, 46G10

DOI:
https://doi.org/10.1090/S0002-9939-1995-1291790-5

MathSciNet review:
1291790

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Abstract: Let *X* be a Banach space. We consider sequences in *X* lying in the range of a measure valued in a superspace of *X* and having bounded variation. Among other results, we prove that G.T. spaces are the only Banach spaces in which those sequences are actually in the range of an -valued measure of bounded variation.

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DOI:
https://doi.org/10.1090/S0002-9939-1995-1291790-5

Article copyright:
© Copyright 1995
American Mathematical Society