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Literature Cited
G. F. Vincent-Smith, “A Choquet boundary theory for measures taking values in a Stone algebra,” J. London Math. Soc.,44, No. 3, 553–558 (1969).
S. S. Kutateladze and A. M. Rubinov, “Minkowski duality and its applications,” Uspekhi Mat. Nauk,27, No. 3, 128–176 (1973).
S. S. Kutateladze, “Some theorems on convergence of operators,” Dokl. Akad. Nauk SSSR,208, No. 4, 771–774 (1973).
V. N. Dyatlov, “Towards a definition of Choquet boundary in a Kantorovich space,” Dokl. Akad. Nauk SSSR,212, No. 5, 1050–1051 (1973).
E. Alfsen, Compact Convex Sets and Boundary Integrals, Springer-Verlag, B.-H.-N. Y. (1971).
A. Ellis, “Facial structure of compact convex sets and applications” NATO Advanced Study Institute, University College of Swansea (1972).
L. V. Kantorovich, D. Z. Vulikh, and A. G. Pinsker, Functional Analysis in Partial Ordered Spaces [in Russian], GITTL, Moscow-Leningrad (1950).
B. Z. Vulikh, Introduction to Theory of Partially Ordered Spaces [in Russian], GIFML, Moscow (1961).
Z. Semadeni, Banach Spaces of Continuous Functions, Vol. 1, Polish Scient. Publ., Warsaw (1971).
Yu. G. Reshetnyak, “On the length and rotation of curves and the area of surfaces,” Dissertation, Leningrad (1954), pp. 32–49.
Yu. É. Linke, “On support sets for sublinear operators,” Dokl. Akad. Nauk SSSR,207, No. 3, 531–533 (1972).
M. Hasumi, “A continuous selection theorem for extremally disconnected spaces,” Math. Ann.,179, No. 2, 83–89 (1969).
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Translated from Sibirskii Matematicheskii Zhurmal, Vol. 15, No. 4, pp. 882–891, July–August, 1974.
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Kutateladze, S.S. Maximal operators and Choquet components. Sib Math J 15, 625–631 (1974). https://doi.org/10.1007/BF00967438
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DOI: https://doi.org/10.1007/BF00967438