Sequences in the range of a vector measure with bounded variation
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- by Cándido Piñeiro PDF
- Proc. Amer. Math. Soc. 123 (1995), 3329-3334 Request permission
Abstract:
Let X be a Banach space. We consider sequences $({x_n})$ 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 ${X^{ \ast \ast }}$-valued measure of bounded variation.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- 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