Lushness, numerical index one and duality

DOI10.1016/J.JMAA.2009.03.055zbMath1183.46009OpenAlexW2055404672MaRDI QIDQ1025807

Javier Merí, Varvara Shepelska, Miguel Martín, Vladimir Kadets

Publication date: 23 June 2009

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.2009.03.055

zbMATH Keywords

dualityBanach spacenumerical index\(C\)-rich subspaceslushnessquotient spaces of \(L_{1}\) spaces

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12) Isometric theory of Banach spaces (46B04)

Related Items (7)

Lipschitz slices and the Daugavet equation for Lipschitz operators ⋮ Slicely countably determined Banach spaces ⋮ Polynomial numerical indices of Banach spaces with 1-unconditional bases ⋮ Polynomial numerical indices of 𝐶(𝐾) and 𝐿₁(𝜇) ⋮ Some geometric properties of disk algebras ⋮ On order structure and operators in \(L_{\infty }(\mu)\) ⋮ Some remarks on generalised lush spaces

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• POLYNOMIAL NUMERICAL INDEX FOR SOME COMPLEX VECTOR-VALUED FUNCTION SPACES
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