Abstract
Assuming that (Ω, Σ, μ) 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 μ-weakly measurable Pettis integrable functions equipped with the usual semivariation norm.
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Ferrando, J.C. On Pettis Integrability. Czech Math J 53, 1009–1015 (2003). https://doi.org/10.1023/B:CMAJ.0000024537.49856.43
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DOI: https://doi.org/10.1023/B:CMAJ.0000024537.49856.43