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On Pettis integrability. (English) Zbl 1080.46515
Summary: 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.

##### MSC:
 46G10 Vector-valued measures and integration 28B05 Vector-valued set functions, measures and integrals
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##### References:
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