Some geometric and topological properties of Banach spaces via ball coverings

DOI10.1016/j.jmaa.2010.12.013zbMath1218.46009OpenAlexW2031097272MaRDI QIDQ629247

Yu Zhou, Wen Zhang, Bo Wang, Li Xing Cheng

Publication date: 8 March 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.12.013

zbMATH Keywords

Banach spacesmoothnessball-coveringball topology

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20)

Related Items (7)

Ball covering property from commutative function spaces to non-commutative spaces of operators ⋮ Differentiability and ball-covering property in Banach spaces ⋮ A remark on the ball-covering property of product spaces ⋮ Characterizations of universal finite representability and \(b\)-convexity of Banach spaces via ball coverings ⋮ A note on ball-covering property of Banach spaces ⋮ Unnamed Item ⋮ Some remarks on the ball-covering property

Cites Work

• Several remarks on ball-coverings of normed spaces
• Convex functions, monotone operators and differentiability.
• 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
• Points minimaux et ensembles optimaux dans les espaces de Banach
• 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
• APPROXIMATIVE PROPERTIES OF SETS IN NORMED LINEAR SPACES
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