Strictly convex renormings and the diameter 2 property

DOI10.4064/sm221216-28-8arXiv2212.13606OpenAlexW4390752010WikidataQ130177411 ScholiaQ130177411MaRDI QIDQ6203436

Märt Põldvere, Stanimir Troyanski, Olav Nygaard, Tauri Viil

Publication date: 28 February 2024

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.13606

zbMATH Keywords

strictly convex normdiameter 2 propertyURED norm

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03) Isometric theory of Banach spaces (46B04)

Cites Work

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• Diameter two properties, convexity and smoothness
• \(M\)-ideals in Banach spaces and Banach algebras
• Octahedral norms and convex combination of slices in Banach spaces
• Diameter 2 properties and convexity
• Strictly convex norms and topology
• Metric characterization of first Baire class linear forms and octahedral norms
• SOME REMARKS CONCERNING THE DAUGAVET EQUATION
• Renormings in Banach Spaces
• The big slice phenomena in M-embedded and L-embedded spaces

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