Extreme points, smooth points and noncreasiness of \(\psi\)-direct sum of Banach spaces

DOI10.1016/j.na.2006.03.031zbMath1134.46005OpenAlexW2027370513MaRDI QIDQ878521

Satit Saejung

Publication date: 26 April 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.03.031

zbMATH Keywords

uniformly convexdirect sum of Banach spacesuniformly smoothuniformly noncreasy

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20)

Cites Work

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• Strict convexity of absolute norms on \(\mathbb{C}^2\) and direct sums of Banach spaces
• Normal structure coefficients for Banach spaces
• Absolute norms on \(\mathbb{C}^n\)
• Smoothness and duality in \(L_p(E, \mu)\)
• Uniform convexity of \(\psi\)-direct sums of Banach spaces
• On uniformly Lipschitzian multivalued mappings in Banach and metric spaces
• Banach spaces which are uniformly noncreasy
• On Ψ direct sums of Banach spaces and convexity
• Products of uniformly noncreasy spaces
• Uniform non-squareness of ψ-direct sums of Banach spaces X ⊕_ψ Y
• A Fixed Point Theorem for Mappings which do not Increase Distances

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