Gateaux Differentiability of Convex Functions on Banach Spaces
From MaRDI portal
Publication:3868315
DOI10.1112/jlms/s2-20.1.115zbMath0431.46033OpenAlexW2046293269MaRDI QIDQ3868315
Robert R. Phelps, David G. Larman
Publication date: 1979
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/jlms/s2-20.1.115
Convex sets in topological linear spaces; Choquet theory (46A55) Derivatives of functions in infinite-dimensional spaces (46G05)
Related Items
Partially monotone operators and the generic differentiability of convex- concave and biconvex mappings ⋮ ESSENTIAL SMOOTHNESS, ESSENTIAL STRICT CONVEXITY, AND LEGENDRE FUNCTIONS IN BANACH SPACES ⋮ Convex spaces: Classification by differentiable convex functions ⋮ A Banach space where minimal weak* cuscos are generically compact-valued ⋮ Essentially smooth Lipschitz functions ⋮ Convexification of nonconvex functions and application to minimum and maximum principles for nonconvex sets ⋮ Proximal analysis in smooth spaces ⋮ A class of null sets associated with convex functions on Banach spaces ⋮ Approximation and Gâteaux differentiability of convex function in Banach spaces ⋮ Weak$^{\ast }$ Hypertopologies with Application to Genericity of Convex Sets ⋮ AN ELEMENTARY PROOF OF JAMES’ CHARACTERISATION OF WEAK COMPACTNESS. II ⋮ Radon‐Nikodým compact spaces and fragmentability ⋮ Fréchet differentiability of regular locally Lipschitzian functions ⋮ Smooth Banach spaces, weak Asplund spaces and monotone or usco mappings ⋮ The product of a Gâteaux differentiability space and a separable space is a Gâteaux differentiability space ⋮ Sharp corner points and isometric extension problem in Banach spaces ⋮ The differentiability of convex functions on topological linear spaces ⋮ A factor theorem for locally convex differentiability spaces ⋮ On Weakly Countably Determined Banach Spaces ⋮ A Smooth Variational Principle With Applications to Subdifferentiability and to Differentiability of Convex Functions ⋮ Gâteaux differentiability of convex functions and weak dentable set in nonseparable Banach spaces ⋮ Generic well‐posedness of optimization problems in topological spaces ⋮ New directions in convex analysis: the differentiability of convex functions on topological linear spaces ⋮ Local convex analysis ⋮ Openness of the metric projection in certain Banach spaces ⋮ Minimal representation of insurance prices ⋮ On weakly Lindelöf Banach spaces ⋮ Conjugate convex operators