Duality between differentiability and rotundity for convex functions

DOI10.1007/BF01152789zbMath0303.46037OpenAlexW2059890496MaRDI QIDQ1216607

V. I. Averbukh

Publication date: 1974

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01152789

Mathematics Subject Classification ID

Topological spaces and generalizations (closure spaces, etc.) (54A05) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Duality theory for topological vector spaces (46A20) Real-valued functions in general topology (54C30) Derivatives of functions in infinite-dimensional spaces (46G05) Calculus of functions on infinite-dimensional spaces (26E15) Topological linear spaces and related structures (46A99)

Cites Work

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• Calculus in vector spaces without norm
• The theory of differentiation in linear topological spaces
• Gradients of Convex Functions
• Convex Analysis
• The various definitions of the derivative in linear topological spaces
• The Geometry of Banach Spaces. Smoothness