2-rotund norms for unconditional and symmetric sequence spaces

DOI10.1007/S43037-024-00379-1MaRDI QIDQ6646862

Denka Kutzarova, S. J. Dilworth, Pavlos Motakis

Publication date: 3 December 2024

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

zbMATH Keywords

reflexivityunconditional basisrenormingsymmetric basis\(2R\) norm2-rotundity

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03) Interpolation between normed linear spaces (46B70) Banach sequence spaces (46B45) Duality and reflexivity in normed linear and Banach spaces (46B10)

Cites Work

• Factoring weakly compact operators
• Embedding spaces with unconditional bases
• Characterization of reflexivity by equivalent renorming
• Schauder bases under uniform renormings
• Reflexivity and the sup of linear functionals
• A remark on symmetric bases
• Banach spaces which can be given an equivalent uniformly convex norm
• Embedding Banach spaces with unconditional bases into spaces with symmetric bases
• Bases and reflexivity of Banach spaces
• Renormings of Banach spaces
• Strict Convexity and Smoothness of Normed Spaces
• Asymptotic properties of Banach spaces under renormings
• Remarks on symmetric smooth norms
• Indices of Function Spaces and their Relationship to Interpolation
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