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bvca(Σ, X) REVISITED

Published online by Cambridge University Press:  13 December 2010

J. C. FERRANDO
J. C. FERRANDO*
Affiliation:
Centro de Investigación Operativa, Edificio Torretamarit, Avda de la Universidad, Universidad Miguel Hernández, E-03202 Elche (Alicante). SPAIN e-mail: jc.ferrando@umh.es
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Abstract

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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.

Keywords

28B0546B03
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 53 , Issue 2 , May 2011 , pp. 341 - 346
Copyright
Copyright © Glasgow Mathematical Journal Trust 2010

References

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