Geodesic
On Pettis integrability
Czechoslovak Mathematical Journal, Tome 53 (2003) no. 4, pp. 1009-1015 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Assuming that $(\Omega , \Sigma , \mu )$ is a complete probability space and $X$ a Banach space, in this paper we investigate the problem of the $X$-inheritance of certain copies of $c_0$ or $\ell _{\infty }$ in the linear space of all [classes of] $X$-valued $\mu $-weakly measurable Pettis integrable functions equipped with the usual semivariation norm.
Assuming that $(\Omega , \Sigma , \mu )$ is a complete probability space and $X$ a Banach space, in this paper we investigate the problem of the $X$-inheritance of certain copies of $c_0$ or $\ell _{\infty }$ in the linear space of all [classes of] $X$-valued $\mu $-weakly measurable Pettis integrable functions equipped with the usual semivariation norm.
Classification : 28B05, 46G10
Keywords: Pettis integrable function space; copy of $c_0$; copy of $\ell _{\infty }$; countably additive vector measure; WRNP; CRP 
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     url = {http://geodesic.mathdoc.fr/item/CMJ_2003_53_4_a17/}
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Ferrando, J. C. On Pettis integrability. Czechoslovak Mathematical Journal, Tome 53 (2003) no. 4, pp. 1009-1015. http://geodesic.mathdoc.fr/item/CMJ_2003_53_4_a17/

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