The ball-covering property on dual spaces and Banach sequence spaces

DOI10.1007/s10473-021-0210-5OpenAlexW3128122080MaRDI QIDQ2154856

Shaoqiang Shang

Publication date: 15 July 2022

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10473-021-0210-5

zbMATH Keywords

separable spaceball-covering propertyGâteaux differentiable pointweak\(^\ast\) exposed point

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20)

Cites Work

• Smoothness and approximative compactness in Orlicz function spaces
• Several remarks on ball-coverings of normed spaces
• \(P\)-convexity of Orlicz-Bochner function spaces endowed with the Orlicz norm
• Differentiability and ball-covering property in Banach spaces
• Every Banach space with a \(w^{*}\)-separable dual has a \(1+\varepsilon\)-equivalent norm with the ball covering property
• Convex functions, monotone operators and differentiability
• Erratum to: ``Ball-covering property of Banach spaces
• Ball-covering property in uniformly non-\(l_3^{(1)}\) Banach spaces and application
• Locally \(2\)-uniform convexity and ball-covering property in Banach space
• Covering spheres of Banach spaces by balls
• Ball-covering property of Banach spaces
• Ball-covering property of Banach spaces that is not preserved under linear isomorphisms
• Minimal ball-coverings in Banach spaces and their application
• Characterizations of Denting Points
• Stability of the ball-covering property
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