A Gâteaux differentiability space that is not weak Asplund

DOI10.1090/S0002-9939-06-08402-4zbMath1098.54016MaRDI QIDQ5469240

Moors, Warren B., Sivajah Somasundaram

Publication date: 17 May 2006

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Gâteaux differentiability spaceweak Asplund spaceStegall spacealmost weak Asplund space

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fréchet and Gateaux differentiability in optimization (49J50) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Geometry and structure of normed linear spaces (46B20) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20)

Related Items (16)

Minimal usco and minimal cusco maps and compactness ⋮ Differentiability and ball-covering property in Banach spaces ⋮ Spaces of Minimal Usco and Minimal Cusco Maps as Fréchet Topological Vector Spaces ⋮ Fréchet subspaces of minimal usco and minimal cusco maps ⋮ When is the space of minimal usco/cusco maps a topological vector space ⋮ Topological properties of the space of convex minimal usco maps ⋮ Approximation and Gâteaux differentiability of convex function in Banach spaces ⋮ Weak$^{\ast }$ Hypertopologies with Application to Genericity of Convex Sets ⋮ Separated sets and Auerbach systems in Banach spaces ⋮ Fragmentability of groups and metric-valued function spaces ⋮ Relations between minimal usco and minimal cusco maps ⋮ Gul'ko, descriptive, and Gruenhage compact spaces ⋮ Gâteaux differentiability and uniform monotone approximation of convex functions in Banach spaces ⋮ On Banach spaces of regulated functions ⋮ Gâteaux differentiability of convex functions and weak dentable set in nonseparable Banach spaces ⋮ Uniform approximation of convex function in smooth Banach spaces

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