Aumann, R. J. Integrals of set-valued functions. (English) Zbl 0163.06301 J. Math. Anal. Appl. 12, 1-12 (1965). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 8 ReviewsCited in 554 Documents MSC: 28B20 Set-valued set functions and measures; integration of set-valued functions; measurable selections Keywords:differentiation and integration; measure theory PDF BibTeX XML Cite \textit{R. J. Aumann}, J. Math. Anal. Appl. 12, 1--12 (1965; Zbl 0163.06301) Full Text: DOI References: [1] Kakutani, S., A generalization of Brouwer’s fixed point theorem, Duke Math. J., 8, 457-459 (1941) · JFM 67.0742.03 [2] Eilenberg, S.; Montgomery, D., Fixed point theorems for multi-valued transformations, Am. J. Math., 8, 214-222 (1946) · Zbl 0060.40203 [3] Arrow, K. J.; Debreu, G., Existence of an equilibrium for a competitive economy, Econometrica, 22, 265-290 (1954) · Zbl 0055.38007 [4] McKenzie, L. W., On the existence of general equilibrium for a competitive market, Econometrica, 27, 54-71 (1959) · Zbl 0095.34302 [5] Vind, K., Edgeworth allocations in an exchange economy with many traders, Econ. Rev., 5, 165-177 (1964) · Zbl 0126.36401 [6] Kudo, H., Dependent experiments and sufficient statistics, Nat. Sci. Rept. Ochanomizu Univ., Tokyo, 4, 151-163 (1954) · Zbl 0055.37501 [7] Richter, H., Verallgemeinerung eines in der Statistik benötigten Satzes der Masstheorie, Math. Annalen, 150, 85-90 (1963), (for correction to this article see same volume, pp. 440-441) · Zbl 0109.27801 [10] Kuratowski, C., Topologie I, Monografie Matematyczne (1948), Warsaw · JFM 59.0563.02 [11] von Neumann, J., On rings of operators. Reduction theory, Ann. Math., 50, 401-485 (1949) · Zbl 0034.06102 [12] Karlin, S., Extreme points of vector functions, (Proc. Am. Math. Soc., 4 (1953)), 603-610 · Zbl 0051.29604 [13] Eggleston, H. G., Convexity (1958), Cambridge, Univ. Press · Zbl 0086.15302 [14] Dunford, N.; Schwartz, J. T., Linear Operators, Part I (1958), Interscience: Interscience New York [15] Karlin, S., (Mathematical Methods and Theory in Games, Programming, and Economics, Vol. I (1959), Addison-Wesley: Addison-Wesley Reading, Mass) · Zbl 0139.12704 [16] Lyapunov, A., Sur les fonctions-vecteurs complètement additives, Bull. Acad. Sci. URSS, Sér. Math., 4, 465-478 (1940) · Zbl 0024.38504 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.