Renormings preserving local geometry at countably many points in spheres of Banach spaces and applications

DOI10.1016/j.jmaa.2023.127276zbMath1530.46008arXiv2211.12332OpenAlexW4361303757MaRDI QIDQ6110823

Andrés Quilis

Publication date: 6 July 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.12332

zbMATH Keywords

uniformly Gâteaux differentiable normsseparable spaces\(c_0(\Gamma)\)\(C^k\)-smooth normsLFC norms

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (1)

Rotund Gâteaux smooth norms which are not locally uniformly rotund

Cites Work

• Analytic and polyhedral approximation of convex bodies in separable polyhedral Banach spaces
• Some remarks on smooth renormings of Banach spaces
• Uniformly Gâteaux smooth approximations on \(c_0(\varGamma)\)
• Banach space theory. The basis for linear and nonlinear analysis
• Geometry and Gâteaux smoothness in separable Banach spaces
• SMOOTH APPROXIMATIONS OF NORMS IN SEPARABLE BANACH SPACES
• On Gâteaux Differentiability of Convex Functions in WCG Spaces
• On uniformly Gâteaux smooth norms and normal structure
• On Convex Functions Having Points of Gateaux Differentiability Which are Not Points of Fréchet Differentiability
• Renormings in Banach Spaces
• Smooth analysis in Banach spaces
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