Numerical index of Banach spaces and duality

DOI10.1017/S0305004106009650zbMath1121.47001arXivmath/0509374OpenAlexW2100170585MaRDI QIDQ3426158

Dirk Werner, Miguel Martín, Kostyantyn Boyko, Vladimir Kadets

Publication date: 8 March 2007

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509374

zbMATH Keywords

numerical indexlush spacealmost CL-space

Mathematics Subject Classification ID

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

Related Items (26)

Lipschitz slices and the Daugavet equation for Lipschitz operators ⋮ Characterization conditions and the numerical index ⋮ On the polynomial numerical index of the real spaces \(c_{0}, \ell _{1}\) and \(\ell _{\infty }\) ⋮ Slicely countably determined Banach spaces ⋮ On a numerical radius preserving onto isometry on \(\mathcal{L}(X)\) ⋮ Every commutative \(\mathrm{JB}^\ast\)-triple satisfies the complex Mazur-Ulam property ⋮ Generalized-lush spaces revisited ⋮ The Bishop-Phelps-Bollobás property and lush spaces ⋮ Estimations of the numerical index of a JB*-triple ⋮ Polarization constant for the numerical radius ⋮ The Daugavet Equation: Linear and Nonlinear Recent Results ⋮ Polynomial numerical indices of Banach spaces with 1-unconditional bases ⋮ Polynomial numerical indices of 𝐶(𝐾) and 𝐿₁(𝜇) ⋮ The group of isometries of a Banach space and duality ⋮ Some geometric properties of disk algebras ⋮ Convexity and smoothness of Banach spaces with numerical index one ⋮ On the numerical radius of Lipschitz operators in Banach spaces ⋮ Numerical index and Daugavet property of operator ideals and tensor products ⋮ Some remarks on generalised lush spaces ⋮ A property in vector-valued function spaces ⋮ On the Bishop–Phelps–Bollobás theorem for operators and numerical radius ⋮ Numerical index of Banach spaces of weakly or weakly-star continuous functions ⋮ On a second numerical index for Banach spaces ⋮ Lushness, numerical index one and duality ⋮ Positive and negative results on the numerical index of Banach spaces and duality ⋮ Slicely countably determined Banach spaces

This page was built for publication: Numerical index of Banach spaces and duality