Abstract separation theorems of Rodé type and their applications

DOI10.4064/AP-72-3-207-217zbMath0956.39020OpenAlexW6159948MaRDI QIDQ4949737

Kazimierz Nikodem, Szymon Wąsowicz, Zsolt Páles

Publication date: 2 March 2001

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap-72-3-207-217

zbMATH Keywords

additiveinequalitiesHahn-Banach theoremseparation theoremssubadditivemidpoint-convexgeneralized affine functions

Mathematics Subject Classification ID

Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Inequalities for sums, series and integrals (26D15) Functional equations for functions with more general domains and/or ranges (39B52) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items (6)

Strong convexity and separation theorems ⋮ Separation by Jensen and affine stochastic processes ⋮ On a separation for the Cauchy equation on spheres ⋮ Strong \(h\)-convexity and separation theorems ⋮ The affine separation problem revisited ⋮ A proof of the Mazur-Orlicz theorem via the Markov-Kakutani common fixed point theorem, and vice versa

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