Minimal ball-coverings in Banach spaces and their application

DOI10.4064/sm192-1-2zbMath1176.46015OpenAlexW2033508048MaRDI QIDQ3614126

Huihua Shi, Qing Jin Cheng, Li Xing Cheng

Publication date: 16 March 2009

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm192-1-2

zbMATH Keywords

differentiabilityBanach spacereflexivitysmoothnessball-covering

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03)

Related Items (12)

The ball-covering property on dual spaces and Banach sequence spaces ⋮ Several remarks on ball-coverings of normed spaces ⋮ Some geometric and topological properties of Banach spaces via ball coverings ⋮ A characterization of Banach spaces containing \(\ell_1(\kappa)\) via ball-covering properties ⋮ A remark on the ball-covering property of product spaces ⋮ Characterizations of universal finite representability and \(b\)-convexity of Banach spaces via ball coverings ⋮ Erratum to: ``Ball-covering property of Banach spaces ⋮ A note on ball-covering property of Banach spaces ⋮ Unnamed Item ⋮ Ball-covering property in uniformly non-\(l_3^{(1)}\) Banach spaces and application ⋮ Some remarks on the ball-covering property ⋮ Every Banach space with a \(w^{*}\)-separable dual has a \(1+\varepsilon\)-equivalent norm with the ball covering property

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