The norm of a linear functional with respect to a non-negative convex functional vanishing at the origin

DOI10.1016/0022-247X(80)90154-7zbMath0463.46008OpenAlexW2090887137MaRDI QIDQ1153515

Ivan Singer

Publication date: 1980

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(80)90154-7

zbMATH Keywords

Hahn-Banach theoremconvex functionalgeneralized norm of a linear 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)

Cites Work

• Smoothness indices for convex functions and the unique Hahn-Banach extension problem
• On set-valued metric projections, Hahn-Banach extension maps, and spherical image maps
• A Note on the Extension of Linear Funtionals
• Uniqueness of Hahn-Banach Extensions and Unique Best Approximation
• Formulation of Linear Programs in Analysis. I: Approximation Theory
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