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Literature Cited
S. S. Kutateladze, “Convex operator,” Usp. Mat. Nauk,34, No. 1, 167–196 (1979).
G. P. Akilov and S. S. Kutateladze, Ordered Vector Spaces [in Russian], Nauka, Novosibirsk (1978).
G. Vincent-Smith, “The Hahn-Banach theorem for Modules,” Proc. London Math. Soc.,57, No. 1, 72–90 (1967).
W. Breckner and E. Scheiber, “A Hahn-Banach type extension theorem for linear mappings into ordered modules,” Mathematica (Cluj),19, No. 1, 13–27 (1977).
A. Bigard, “Modules ordonnés injectifs,” Mathematica (Cluj),15, No. 1, 15–24 (1973).
K. J. Arrow, L. Hurwicz, and H. Uzawa (eds.), Studies in Linear and Nonlinear Programming, Stanford Univ. Press (1958).
S. S. Kutateladze, “The Krein-Mil'man theorem and its converse,” Sib. Math. Zh.,21, No. 1, 130–138 (1980).
W. Luxemburg and A. Schep, “A Radon-Nikodym type theorem for positive operators and dual,” Indag. Math.,81, No. 3, 357–375 (1978).
Additional information
Institute of Mathematics, Siberian Branch, Academy of Sciences of the USSR, Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 22, No. 4, pp. 118–128, July–August, 1981.
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Kutateladze, S.S. Convex analysis in modules. Sib Math J 22, 575–583 (1981). https://doi.org/10.1007/BF00967762
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DOI: https://doi.org/10.1007/BF00967762