König, Heinz On the abstract Hahn-Banach theorem due to Rodé. (English) Zbl 0636.46005 Aequationes Math. 34, 89-95 (1987). G. Rodé [Arch. Math. 31, 474-481 (1978; Zbl 0402.46003)] proved a very abstract Hahn-Banach theorem. His proof is rather complicated. Here the author presents a simpler proof of it. Reviewer: T.Husain Cited in 1 ReviewCited in 12 Documents MSC: 46A22 Theorems of Hahn-Banach type; extension and lifting of functionals and operators 52A40 Inequalities and extremum problems involving convexity in convex geometry 26B25 Convexity of real functions of several variables, generalizations 39B72 Systems of functional equations and inequalities Keywords:abstract Hahn-Banach theorem Citations:Zbl 0402.46003 PDFBibTeX XMLCite \textit{H. König}, Aequationes Math. 34, 89--95 (1987; Zbl 0636.46005) Full Text: DOI EuDML References: [1] Fuchssteiner, Benno andLusky, Wolfgang,Convex Cones. (North-Holland Mathematics Studies Vol. 56), Amsterdam–New York–Oxford, 1981. [2] König, Heinz,Der Hahn-Banach-Satz von Rodé für unendlichstellige Operationen. Arch. Math.35 (1980), 292–304. · Zbl 0476.46004 [3] Kuhn, Norbert,A note on t-convex functions. In:General Inequalities 4 (Oberwolfach, 8–14 May 1983), (ISNM Vol. 71.) Birkhäuser, Basel–Boston–Stuttgart, 1984, pp. 269–276. [4] Rodé, Gerd,Eine abstrakte Version des Satzes von Hahn-Banach. Arch. Math.31 (1978), 474–481. · Zbl 0402.46003 [5] Volkmann, Peter undWeigel, Herbert,Systeme von Funktionalgleichungen. Arch. Math.37 (1981), 443–449. · Zbl 0458.39004 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.