Ball covering property from commutative function spaces to non-commutative spaces of operators

DOI10.1016/j.jfa.2022.109502zbMath1498.46015arXiv2111.04921OpenAlexW3214719478MaRDI QIDQ2127605

Minzeng Liu, Jimeng Lu, Rui Liu, Ben Tuo Zheng

Publication date: 20 April 2022

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.04921

zbMATH Keywords

weak basiscomplemented subspaces\(\pi\)-basisball covering property

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Geometry and structure of normed linear spaces (46B20) Spaces of operators; tensor products; approximation properties (46B28) Isometric theory of Banach spaces (46B04)

Cites Work

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• Some geometric and topological properties of Banach spaces via ball coverings
• Characterizations of universal finite representability and \(b\)-convexity of Banach spaces via ball coverings
• The functional analysis of quantum information theory. A collection of notes based on lectures by Gilles Pisier, K. R. Parthasarathy, Vern Paulsen and Andreas Winter
• Locally \(2\)-uniform convexity and ball-covering property in Banach space
• 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
• The strong and uniform ball-covering properties
• Weak Bases and Metrization
• A remark on the ball-covering property of product spaces
• Stability of the ball-covering property
• MAPPINGS AND SPACES

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