bvca(Σ, X) REVISITED
Glasgow mathematical journal, Tome 53 (2011) no. 2, pp. 341-346
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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.
FERRANDO, J. C. bvca(Σ, X) REVISITED. Glasgow mathematical journal, Tome 53 (2011) no. 2, pp. 341-346. doi: 10.1017/S0017089510000753
@article{10_1017_S0017089510000753,
author = {FERRANDO, J. C.},
title = {bvca(\ensuremath{\Sigma}, {X)} {REVISITED}},
journal = {Glasgow mathematical journal},
pages = {341--346},
year = {2011},
volume = {53},
number = {2},
doi = {10.1017/S0017089510000753},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089510000753/}
}
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