Ball-covering property of Banach spaces that is not preserved under linear isomorphisms

DOI10.1007/s11425-007-0102-8zbMath1152.46010OpenAlexW1531495149MaRDI QIDQ2481273

Qing Jin Cheng, Xiao Yan Liu, Li Xing Cheng

Publication date: 9 April 2008

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

Full work available at URL: https://doi.org/10.1007/s11425-007-0102-8

zbMATH Keywords

ball-coveringweak-star separable Banach space

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Nonseparable Banach spaces (46B26)

Related Items (16)

Ball covering property from commutative function spaces to non-commutative spaces of operators ⋮ The ball-covering property on dual spaces and Banach sequence spaces ⋮ Covering spheres of Banach spaces by balls ⋮ 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 ⋮ Every Banach space with a \(w^{*}\)-separable dual has a \(1+\varepsilon\)-equivalent norm with the ball covering property

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