Every Banach space with a \(w^{*}\)-separable dual has a \(1+\varepsilon\)-equivalent norm with the ball covering property

DOI10.1007/s11425-009-0175-7zbMath1191.46010OpenAlexW2039710329MaRDI QIDQ1044261

Wen Zhang, Huihua Shi, Li Xing Cheng

Publication date: 11 December 2009

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-009-0175-7

zbMATH Keywords

Banach spaceequivalent normball-covering

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Nonseparable Banach spaces (46B26)

Related Items (13)

The ball-covering property on dual spaces and Banach sequence spaces ⋮ The strong and uniform ball-covering properties ⋮ Several remarks on ball-coverings of normed spaces ⋮ Differentiability and ball-covering property in Banach 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

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