Gruenhage compacta and strictly convex dual norms

DOI10.1016/j.jmaa.2008.07.017zbMath1168.46004arXiv0710.5396OpenAlexW2094464996MaRDI QIDQ2518766

Richard J. Smith

Publication date: 16 January 2009

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

Full work available at URL: https://arxiv.org/abs/0710.5396

zbMATH Keywords

normtreecontinuous imagestrictly convexrotundGruenhage spaceperfect imagerenorming theory

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Nonseparable Banach spaces (46B26) Convexity of real functions of several variables, generalizations (26B25)

Related Items (8)

CHAINS OF FUNCTIONS IN -SPACES ⋮ On a classical renorming construction of V. Klee ⋮ On Gruenhage spaces, separating \(\sigma\)-isolated families, and their relatives ⋮ Gul'ko, descriptive, and Gruenhage compact spaces ⋮ Renormings of \(C(K)\) spaces ⋮ Sigma-locally uniformly rotund and sigma-weak\(^*\) Kadets dual norms ⋮ A topological characterization of dual strict convexity in Asplund spaces ⋮ Strictly convex norms, $G_{𝛿}$-diagonals and non-Gruenhage spaces

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• Pointwise uniformly rotund norms
• Descriptive compact spaces and renorming
• The day norm and Gruenhage compacta
• Strictly convex renormings
• Trees, linear orders and Gâteaux smooth norms

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