The complexity of subdifferentiation and its inverse on convex functions in Banach spaces

DOI10.1016/S0168-0072(01)00112-9zbMath1014.03048MaRDI QIDQ1861530

Pierre Casevitz

Publication date: 9 March 2003

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

zbMATH Keywords

Banach spacesdifferentiabilitydescriptive set theory

Mathematics Subject Classification ID

Descriptive set theory (03E15) Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Derivatives of functions in infinite-dimensional spaces (46G05)

Cites Work

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• On the convergence of subdifferentials of convex functions
• Convex functions, monotone operators and differentiability
• Hurewicz's theorems and renormings of Banach spaces
• The topological complexity of a natural class of norms on Banach spaces

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