Characterizations of universal finite representability and \(b\)-convexity of Banach spaces via ball coverings

DOI10.1007/s10114-012-0721-zzbMath1261.46010OpenAlexW2171125716MaRDI QIDQ1757961

Wen Zhang

Publication date: 7 November 2012

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-012-0721-z

zbMATH Keywords

finite representability\(B\)-convex spaceball coveringsuniformly non-\(\ell_\infty^{(n)}\) space

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Local theory of Banach spaces (46B07)

Related Items (2)

Ball covering property from commutative function spaces to non-commutative spaces of operators ⋮ A remark on the ball-covering property of product spaces

Cites Work

• Several remarks on ball-coverings of normed spaces
• Some geometric and topological properties of Banach spaces via ball coverings
• A note on ball-covering property of Banach spaces
• Every Banach space with a \(w^{*}\)-separable dual has a \(1+\varepsilon\)-equivalent norm with the ball covering property
• 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
• Uniform embeddings of bounded geometry spaces into reflexive Banach space
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