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bvca(Σ, X) REVISITED
Published online by Cambridge University Press: 13 December 2010
Abstract
Assuming that (Ω, Σ) is a measurable space and (X) is a Banach space we provide a quite general sufficient condition on (X) for bvca(Σ, X) (the Banach space of all X-valued countably additive measures of bounded variation equipped with the variation norm) to contain a copy of c0 if and only if X does. Some well-known results on this topic are straightforward consequences of our main theorem.
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- Copyright © Glasgow Mathematical Journal Trust 2010