Convexity and smoothness of Banach spaces with numerical index one

zbMath1197.46008arXiv0811.0808MaRDI QIDQ2267693

Vladimir Kadets, Miguel Martín, Javier Merí, R. Payá-Albert

Publication date: 1 March 2010

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.0808

zbMATH Keywords

smooth Banach spacesstrictly convex Banach spacesnumerical indexalternative Daugavet propertyrich subspacelushness

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Numerical range, numerical radius (47A12) Isometric theory of Banach spaces (46B04)

Related Items

Lipschitz slices and the Daugavet equation for Lipschitz operators, Characterization conditions and the numerical index, Slicely countably determined Banach spaces, The Bishop-Phelps-Bollobás property and lush spaces, Polarization constant for the numerical radius, A numerical range approach to Birkhoff-James orthogonality with applications, Polynomial numerical indices of Banach spaces with 1-unconditional bases, Limit theorems for the numerical index, On the numerical radius of Lipschitz operators in Banach spaces, Some remarks on generalised lush spaces, On the Bishop–Phelps–Bollobás theorem for operators and numerical radius, Lushness, numerical index one and duality

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