On convexity properties of \(\psi\)-direct sums of Banach spaces.

DOI10.1016/J.JMAA.2003.09.011zbMath1037.46013OpenAlexW2074220081MaRDI QIDQ1419730

Patrick N. Dowling

Publication date: 26 January 2004

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.2003.09.011

zbMATH Keywords

strictly convexuniformly convex\(\psi\)-direct sum of Banach spaces

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20)

Related Items (9)

Banach function norms via Cauchy polynomials and applications ⋮ Complex strict convexity of absolute norms on \(\mathbb {C}^n\) and direct sums of Banach spaces ⋮ A note on geometrical properties of Banach spaces using \(\psi\)-direct sums ⋮ The Beckenbach-Dresher inequality in the \(\Psi\)-direct sums of spaces and related results ⋮ The monotonicity of absolute normalized norms on \(\mathbb{C}^n\) ⋮ Unnamed Item ⋮ Fixed point property of direct sums ⋮ Geometry of product spaces ⋮ The level sets of the resolvent norm and convexity properties of Banach spaces

Cites Work

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• Strict convexity of absolute norms on \(\mathbb{C}^2\) and direct sums of Banach spaces
• Products of Banach spaces that are uniformly rotund in every direction
• Types of Radon-Nikodým properties for the projective tensor product of Banach spaces
• Absolute norms on \(\mathbb{C}^n\)
• Uniform convexity of \(\psi\)-direct sums of Banach spaces
• Von Neumann-Jordan constant of absolute normalized norms on \(\mathbb{C}^2\)
• On Ψ direct sums of Banach spaces and convexity
• Uniform convexity. III
• Locally Uniformly Convex Banach Spaces

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