On Ψ direct sums of Banach spaces and convexity

DOI10.1017/S1446788700008193zbMath1055.46010MaRDI QIDQ4460699

Kichi-Suke Saito, Takayuki Tamura, Mikio Kato

Publication date: 29 March 2004

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

uniformly convexabsolute norm

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20)

Related Items (12)

Banach function norms via Cauchy polynomials and applications ⋮ On some generalized triangle inequalities and \(\ell_{\psi}\)-spaces ⋮ Complex strict convexity of absolute norms on \(\mathbb {C}^n\) and direct sums of Banach spaces ⋮ LEVEL SETS OF THE RESOLVENT NORM OF A LINEAR OPERATOR REVISITED ⋮ 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 ⋮ Extreme points, smooth points and noncreasiness of \(\psi\)-direct sum of Banach spaces ⋮ Another approach to characterizations of generalized triangle inequalities in normed spaces ⋮ The monotonicity of absolute normalized norms on \(\mathbb{C}^n\) ⋮ On convexity properties of \(\psi\)-direct sums of Banach spaces. ⋮ Non-squareness and uniform non-squareness of \(Z\)-direct sums ⋮ Fixed point property of direct sums

Cites Work

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• Strict convexity of absolute norms on \(\mathbb{C}^2\) and direct sums 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 \(\mathbb{C}^2\)
• An Introduction to Banach Space Theory

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