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Dunford-Pettis sets in the space of Bochner integrable functions. (English) Zbl 0398.46025

46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
46E40 Spaces of vector- and operator-valued functions
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[1] Bourgain, J.: An averaging result forl 1-sequences and application to weakly conditionally compact sets inL 1(?,X) (preprint)
[2] Brooks, J.K., Dinculeanu, N.: Weak compactness in the space of Bochner integrable functions and applications. Advances in Math.24, 172-188 (1977) · Zbl 0354.46026 · doi:10.1016/S0001-8708(77)80017-0
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[4] Diestel, J.: Remarks on weak compactness inL 1(?,X). Glasgow Math. J.18, 87-91 (1977) · Zbl 0342.46020 · doi:10.1017/S0017089500003074
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[7] Rosenthal, H.P.: A characterization of Banach spaces containingl 1. Proc. Nat. Acad. Sci. USA71, 2411-2413 (1974) · Zbl 0297.46013 · doi:10.1073/pnas.71.6.2411
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