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Geometric versions of Rodé’s theorem. (English) Zbl 0937.46005

There is a scope of generalizations of the Hahn-Banach theorem beginning with the R. Kaufman sandwich theorem [see Stud. Math. 27, 269-272 (1966; Zbl 0143.36302)]. The most powerful and flexible generalization was due to G. Rodé [Arch. Math. 31, 474-481 (1978; Zbl 0402.46003)]. The author presents a geometric version of the Rodé theorem and a new proof for it.

MSC:

46A55 Convex sets in topological linear spaces; Choquet theory
52A99 General convexity
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