Sandwich theorem and supportability for partially defined convex operators

DOI10.1016/0022-247X(90)90332-AzbMath0721.46002OpenAlexW2055466712MaRDI QIDQ2640830

Dominikus Noll

Publication date: 1990

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(90)90332-a

zbMATH Keywords

concave operatorleast upper bound propertyconvex operatorBorel measurablelocally convex Fréchet spacelower semi-continuous convex functionsupport mappingcontinuous sandwich problemexistence of a continuous affine mappingexistence of continuous linear support mappingspseudo-complete convex setvalues in an ordered locally convex vector space

Mathematics Subject Classification ID

Convex functions and convex programs in convex geometry (52A41) Convex sets in topological linear spaces; Choquet theory (46A55) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (1)

A unified approach to duality in convex programming

Cites Work

• Sandwich Theorem und offene Zerlegungen in schwach K-analytischen Banachräumen. (Sandwich theorem and open decompositions in weakly K- analytic Banach spaces)
• Continuous affine support mappings for convex operators
• A duality theorem for a convex programming problem in order complete vector lattices
• Sandwich theorems for convex operators with values in an ordered vector space
• Open mapping theorems in topological spaces
• On CS ‐closed sets
• A Lagrange multiplier theorem and a sandwich theorem for convex relations.
• On monotonic generalizations of Moore spaces, Čech complete spaces and p-spaces
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