Geodesic
Embedding $c_0$ in ${\rm bvca}(\Sigma,X)$
Czechoslovak Mathematical Journal, Tome 57 (2007) no. 2, pp. 679-688 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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If $(\Omega ,\Sigma ) $ is a measurable space and $X$ a Banach space, we provide sufficient conditions on $\Sigma $ and $X$ in order to guarantee that $\mathop {\mathrm bvca}( \Sigma ,X) $, the Banach space of all $X$-valued countably additive measures of bounded variation equipped with the variation norm, contains a copy of $c_{0}$ if and only if $X$ does.
If $(\Omega ,\Sigma ) $ is a measurable space and $X$ a Banach space, we provide sufficient conditions on $\Sigma $ and $X$ in order to guarantee that $\mathop {\mathrm bvca}( \Sigma ,X) $, the Banach space of all $X$-valued countably additive measures of bounded variation equipped with the variation norm, contains a copy of $c_{0}$ if and only if $X$ does.
Classification : 28A33, 28B05, 46B25, 46E27, 46G10
Keywords: countably additive vector measure of bounded variation; Pettis integrable function space; copy of $c_{0}$; copy of $\ell _{\infty }$ 
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Ferrando, J. C.; Ruiz, L. M. Sánchez. Embedding $c_0$ in ${\rm bvca}(\Sigma,X)$. Czechoslovak Mathematical Journal, Tome 57 (2007) no. 2, pp. 679-688. http://geodesic.mathdoc.fr/item/CMJ_2007_57_2_a10/

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