scientific article; zbMATH DE number 7780482

DOI10.30504/jims.2023.385243.1089MaRDI QIDQ6139595

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Publication date: 19 December 2023

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zbMATH Keywords

convex functionsLegendre transformlower semicontinuousorder isomorphismorder anti-isomorphism

Mathematics Subject Classification ID

Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Duality and reflexivity in normed linear and Banach spaces (46B10)

Cites Work

• Order preserving and order reversing operators on the class of convex functions in Banach spaces
• A characterization of the concept of duality
• A localization of the Artstein-Avidan-Milman theorem
• On order-preserving and order-reversing mappings defined on cones of convex functions
• The concept of duality in convex analysis, and the characterization of the Legendre transform
• Order Isomorphisms on Convex Functions in Windows
• Invariant Metrics in Groups (Solution of a Problem of Banach)

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