Convex analysis in modules

S. S. Kutateladze

doi:10.1007/bf00967762

journal article Jul 01, 1981

Convex analysis in modules

S. S. Kutateladze

Siberian Mathematical Journal Vol. 22 No. 4 pp. 575-583 · Springer Science and Business Media LLC

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References

8

[1]

S. S. Kutateladze, “Convex operator,” Usp. Mat. Nauk,34, No. 1, 167–196 (1979).

[2]

G. P. Akilov and S. S. Kutateladze, Ordered Vector Spaces [in Russian], Nauka, Novosibirsk (1978).

[3]

G. Vincent-Smith, “The Hahn-Banach theorem for Modules,” Proc. London Math. Soc.,57, No. 1, 72–90 (1967). 10.1112/plms/s3-17.1.72

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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).

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A. Bigard, “Modules ordonnés injectifs,” Mathematica (Cluj),15, No. 1, 15–24 (1973).

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K. J. Arrow, L. Hurwicz, and H. Uzawa (eds.), Studies in Linear and Nonlinear Programming, Stanford Univ. Press (1958).

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S. S. Kutateladze, “The Krein-Mil'man theorem and its converse,” Sib. Math. Zh.,21, No. 1, 130–138 (1980).

[8]

W. Luxemburg and A. Schep, “A Radon-Nikodym type theorem for positive operators and dual,” Indag. Math.,81, No. 3, 357–375 (1978). 10.1016/1385-7258(78)90053-7

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Published: Jul 01, 1981
Vol/Issue: 22(4)
Pages: 575-583
License: View

Authors

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S. S. Kutateladze

Cite This Article

S. S. Kutateladze (1981). Convex analysis in modules. Siberian Mathematical Journal, 22(4), 575-583. https://doi.org/10.1007/bf00967762

Convex analysis in modules

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