Decomposability and dual optimization in Banach spaces

DOI10.1016/0022-247X(81)90149-9zbMath0503.46010OpenAlexW2088233516MaRDI QIDQ1173237

L. Asimow, Andrew J. Simoson

Publication date: 1981

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(81)90149-9

zbMATH Keywords

polyhedronconvex programmingFenchel dualityconvex constraintsdual optimizationdecomposability by affine varietiesdual ordered Banach spacelocal decomposabilityminimization of the sum of two convex functionspositive extension propertyw* continuous affine functional

Mathematics Subject Classification ID

Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Convex sets in topological linear spaces; Choquet theory (46A55) Derivatives of functions in infinite-dimensional spaces (46G05) Methods of successive quadratic programming type (90C55)

Cites Work

• Some characterizations of convex polyhedra
• Interpolation in Banach spaces
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