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Literature Cited
V. L. Levin, “Subdifferentials of convex maps and composite functions,” Sibirsk. Matem. Zh.,13, No. 6, 1295–1303 (1972).
A. D. Ioffe and V. L. Levin, “Subdifferentials of convex functions,” Trudy Mosk. Mat. O-va,26, 3–73 (1972).
M. Valadier, “Contribution a l'analyse convexe,” Thesis, Université de Montpellier (1970).
Yu. É. Linke, “On supporting sets of sublinear operators,” Dokl. Akad. Nauk SSSR,207, No. 3, 531–533 (1972).
L. Hörmander, “Sur la fonction l'appui des ensembles convex une espace localement convexe,” Arkiv Mat.,3, No. 2, 181–186 (1955).
B. Z. Vulikh, Introduction to the Theory of Partially Ordered Spaces [in Russian], Fizmatgiz, Moscow (1961).
G. Birkoff, Lattice Theory [Russian translation], Izd. Inostr. Lit., Moscow (1953).
S. S. Kutateladze and A. M. Rubinov, “Minkowski duality and its applications,” Usp. Matem. Nauk,27, No. 3, 127–176 (1972).
K. Fan, “On the Krein-Milman theorem,” in: Convexity (V. Klee, editor), Proc. Symp. Pure Math., Amer. Math. Soc., Providence (1963), pp. 211–219.
A. M. Rubinov, “Sublinear functionals defined on a cone,” Sibirsk. Matem. Zh.,11, No. 2, 429–441 (1970).
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 17, No. 2, pp. 370–380, March–April, 1976.
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Rubinov, A.M. Sublinear operators and operator-convex sets. Sib Math J 17, 289–296 (1976). https://doi.org/10.1007/BF00967575
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DOI: https://doi.org/10.1007/BF00967575