Certain subsets on which every bounded convex function is continuous

DOI10.1007/s10114-005-0835-7zbMath1128.26008OpenAlexW1981963132MaRDI QIDQ2644335

Yan Mei Teng, Li Xing Cheng

Publication date: 31 August 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0835-7

zbMATH Keywords

Banach spacescontinuityboundednessconvex functions

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Convex functions and convex programs in convex geometry (52A41) Convexity of real functions of several variables, generalizations (26B25) Derivatives of functions in infinite-dimensional spaces (46G05) Calculus of functions on infinite-dimensional spaces (26E15)

Related Items (2)

Every weakly compact set can be uniformly embedded into a reflexive Banach space ⋮ On uniform convexity of Banach spaces

Cites Work

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• Convex functions, monotone operators and differentiability
• On a class of sets connected with a convex function
• On the boundedness and continuity of convex functions and additive functions
• A Note on the Differentiability of Convex Functions
• Convex Analysis

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