Separation and duality in locally \(L^0\)-convex modules (Q1028318)

The authors discuss the Hahn-Banach theorem and relevant convexity issues in the framework of a module over the ring of real measurable functions. The list of references reflects the previous research by the early 1980s. Some related results in a more general setting were obtained later by Boolean valued analysis and reflected, for instance, in [\textit{A.\,G.\thinspace Kusraev} and \textit{S.\,S.\thinspace Kutateladze}, ``Subdifferential calculus.\ Theory and applications'' (Russian) (Moskva:\ Nauka) (2007; Zbl 1137.49002)].