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Sublinear functionals defined on a cone. (English. Russian original) Zbl 0206.42503

Sib. Math. J. 11, 327-336 (1970); translation from Sib. Mat. Zh. 11, 429-441 (1970).

MSC:

46E10 Topological linear spaces of continuous, differentiable or analytic functions
46A40 Ordered topological linear spaces, vector lattices
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References:

[1] N. Bourbaki, Espaces Vectoriel Topologiques, Hermann, Paris (1966). · Zbl 0145.37702
[2] L. Hörmander, ?Sur la function d’appui des ensembles convexes dans un espace localement convexe,? Arkiv för Mat.,3, No. 12, 181 (1955). · Zbl 0064.10504 · doi:10.1007/BF02589354
[3] A. G. Pinsker, ?Space of convex sets of locally convex spaces,? in: Various Classes of Partially Ordered Spaces [in Russian], Izd. vo LGU (1966).
[4] A. M. Rubinov, ?On various properties of sublinear functionals? in: Optimal Programing [in Russian], No. 9 (1967).
[5] B. Z. Vulikh, Introduction to the Theory of Partially Ordered Spaces, Noordhoff, Groningen (1967). · Zbl 0186.44601
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