Lipschitz slices and the Daugavet equation for Lipschitz operators

DOI10.1090/proc/12818zbMath1337.46008arXiv1407.4018OpenAlexW2168603563MaRDI QIDQ3450073

Miguel Martín, Javier Merí, Dirk Werner, Vladimir Kadets

Publication date: 2 November 2015

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

Full work available at URL: https://arxiv.org/abs/1407.4018

zbMATH Keywords

numerical radiusDaugavet propertyLipschitz mappingnumerical indexDaugavet equationslice in a Banach space

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12) Isometric theory of Banach spaces (46B04) Radon-Nikodým, Kre?n-Milman and related properties (46B22) Nonlinear classification of Banach spaces; nonlinear quotients (46B80)

Related Items (6)

When does ‖f(A)‖ = f(‖A‖) hold true? ⋮ Operations with slicely countably determined sets ⋮ Representable spaces have the polynomial Daugavet property ⋮ Daugavet points and $\Delta $-points in Lipschitz-free spaces ⋮ A note on numerical radius attaining mappings ⋮ Lipschitz slices versus linear slices in Banach spaces

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• Lushness, Numerical Index 1 and the Daugavet Property in Rearrangement Invariant Spaces
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