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Remarks on the set-valued integrals of Debreu and Aumann. (English) Zbl 0373.28005


MSC:

28B05 Vector-valued set functions, measures and integrals
46G05 Derivatives of functions in infinite-dimensional spaces
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References:

[1] Debreu, G, Integration of correspondences, (), 351-372 · Zbl 0211.52803
[2] Aumann, R.J, Integrals of set-valued functions, J. math. anal. appl., 12, 1-12, (1965) · Zbl 0163.06301
[3] Banks, H.T; Jacobs, M, A differential calculus for multifunctions, J. math. anal. appl., 29, 246-272, (1970) · Zbl 0191.43302
[4] {\scJ. Diestel}, Remarks on weak compactness in L1(μ, X), to appear.
[5] {\scC. Byrne}, Some sufficient conditions for the weak compactness of subsets of L1(m, X), to appear.
[6] Grothendieck, A, Topological vector spaces, (1973), Gordon and Breach New York · Zbl 0275.46001
[7] Dunford, N; Schwartz, J, Linear operators, I, (1958), Interscience New York
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