Octahedrality in Lipschitz-free Banach spaces

DOI10.1017/S0308210517000373zbMath1416.46012arXiv1512.03558MaRDI QIDQ4646308

Ginés López-Pérez, Julio Becerra Guerrero, Abraham Rueda Zoca

Publication date: 11 January 2019

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.03558

zbMATH Keywords

Lipschitz-free spaceoctahedral normsslicesdiameter 2 properties

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isometric theory of Banach spaces (46B04)

Related Items (15)

Symmetric strong diameter two property ⋮ Daugavet points and $\Delta $-points in Lipschitz-free spaces ⋮ Almost square and octahedral norms in tensor products of Banach spaces ⋮ Octahedral norms in duals and biduals of Lipschitz-free spaces ⋮ Points of differentiability of the norm in Lipschitz-free spaces ⋮ A pre-adjoint approach on weighted composition operators between spaces of Lipschitz functions ⋮ The Daugavet property in spaces of vector-valued Lipschitz functions ⋮ The Daugavet Equation: Linear and Nonlinear Recent Results ⋮ Complete metric spaces with property \((Z)\) are length spaces ⋮ A characterisation of the Daugavet property in spaces of Lipschitz functions ⋮ Unconditional almost squareness and applications to spaces of Lipschitz functions ⋮ Stability of diametral diameter two properties ⋮ Daugavet- and delta-points in Banach spaces with unconditional bases ⋮ On strongly norm attaining Lipschitz maps ⋮ The diametral strong diameter 2 property of Banach spaces is the same as the Daugavet property

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