Páles, Zsolt Geometric versions of Rodé’s theorem. (English) Zbl 0937.46005 Rad. Mat. 8(1992), No. 2, 217-229 (1998). 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. Reviewer: Y.A.Brudnyi (Haifa) MSC: 46A55 Convex sets in topological linear spaces; Choquet theory 52A99 General convexity Keywords:\(p\)-convex set; \(p\)-affine function; Kaufman sandwich theorem; Hahn-Banach theorem; Rodé theorem Citations:Zbl 0143.36302; Zbl 0402.46003 PDFBibTeX XMLCite \textit{Z. Páles}, Rad. Mat. 8, No. 2, 217--229 (1998; Zbl 0937.46005)