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

### MSC:

 4.6e+31 Spaces of measurable functions ($$L^p$$-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) 4.6e+41 Spaces of vector- and operator-valued functions
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### References:

 [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 [3] Davis, W.J., Figiel, T., Johnson, W.B., Pelczynski, A.: Factoring weakly compact operators. J. Funct. Anal.17, 311-327 (1974) · Zbl 0306.46020 [4] Diestel, J.: Remarks on weak compactness inL 1(?,X). Glasgow Math. J.18, 87-91 (1977) · Zbl 0342.46020 [5] Diestel, J., Uhl, J.J., Jr.: Vector measures. Math. Surveys No. 15, American Mathematics Society, Providence 1977 · Zbl 0369.46039 [6] Dinculeanu, N.: Vector measures. New York: Pergamon Press 1967 · Zbl 0156.14902 [7] Rosenthal, H.P.: A characterization of Banach spaces containingl 1. Proc. Nat. Acad. Sci. USA71, 2411-2413 (1974) · Zbl 0297.46013 [8] Rosenthal, H.P.: Pointwise compact subsets of the first Baire class. Amer. J. Math.99, 362-378 (1977) · Zbl 0392.54009
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