On Pettis Integrability |
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Authors: | J C Ferrando |
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Institution: | 1. Depto. Estadística y Matemática Aplicada, Universidad Miguel Hernández, E-03202, Elche (Alicante), Spain
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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. |
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