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Embedding c0 in bvca(Σ, X)

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Abstract

If (Ω,Σ) is a measurable space and X a Banach space, we provide sufficient conditions on Σ and X in order to guarantee that bvca(Σ, X) the Banach space of all X-valued countably additive measures of bounded variation equipped with the variation norm, contains a copy of c0 if and only if X does.

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Authors and Affiliations

  1. Centro de Investigación Operativa, Universidad Miguel Hernández, E-03202, Elche (Alicante), Spain

    J. C. Ferrando

  2. Departamento de Matemática Aplicada, Universidad Politécnica de Valencia, E-46022, Valencia, Spain

    L. M. Sánchez Ruiz

Authors
  1. J. C. Ferrando
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  2. L. M. Sánchez Ruiz
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Additional information

This work was supported by the project MTM2005-01182 of the Spanish Ministry of Education and Science, co-financed by the European Community (Feder projects).

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Ferrando, J.C., Sánchez Ruiz, L.M. Embedding c0 in bvca(Σ, X). Czech Math J 57, 679–688 (2007). https://doi.org/10.1007/s10587-007-0105-1

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  • DOI: https://doi.org/10.1007/s10587-007-0105-1

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