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Artstein, Zvi

Set-valued measures. (English) Zbl 0237.28008

Trans. Am. Math. Soc. 165, 103-125 (1972).
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Cited in 3 Reviews
Cited in 45 Documents

MSC:

28B15 Set functions, measures and integrals with values in ordered spaces
28A15 Abstract differentiation theory, differentiation of set functions
52A05 Convex sets without dimension restrictions (aspects of convex geometry)
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References:

[1] Robert J. Aumann, Integrals of set-valued functions, J. Math. Anal. Appl. 12 (1965), 1 – 12. · Zbl 0163.06301 · doi:10.1016/0022-247X(65)90049-1
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[12] Henry Hermes and Joseph P. LaSalle, Functional analysis and time optimal control, Academic Press, New York-London, 1969. Mathematics in Science and Engineering, Vol. 56. · Zbl 0203.47504
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[14] C. J. Himmelberg and F. S. Van Vleck, Some selection theorems for measurable functions, Canad. J. Math. 21 (1969), 394 – 399. · Zbl 0202.33803 · doi:10.4153/CJM-1969-041-7
[15] Masuo Hukuhara, Intégration des applications mesurables dont la valeur est un compact convexe, Funkcial. Ekvac. 10 (1967), 205 – 223 (French). · Zbl 0161.24701
[16] Marc Q. Jacobs, On the approximation of integrals of multivalued functions, SIAM J. Control 7 (1969), 158 – 177. · Zbl 0176.07302
[17] R. T. Rockafellar, Convex analysis, Princeton Univ. Press, Princeton, N. J., 1970. · Zbl 0193.18401
[18] R. T. Rockafellar, Measurable dependence of convex sets and functions on parameters, J. Math. Anal. Appl. 28 (1969), 4 – 25. · Zbl 0202.33804 · doi:10.1016/0022-247X(69)90104-8
[19] David Schmeidler, Convexity and compactness in countably additive correspondences, Differential Games and Related Topics (Proc. Internat. Summer School, Varenna, 1970) North-Holland, Amsterdam, 1971, pp. 235 – 242.
[20] K. Vind, Edgeworth-allocations in an exchange economy with many traders, Int. Econ. Rev. 5 (1964), 165-177. · Zbl 0126.36401
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