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On Pettis Integrability
Authors:J C Ferrando
Institution:1. Depto. Estadística y Matemática Aplicada, Universidad Miguel Hernández, E-03202, Elche (Alicante), Spain
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 l\ell _\infty in the linear space of all classes of] X-valued μ-weakly measurable Pettis integrable functions equipped with the usual semivariation norm.
Keywords:
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