The Mazur-Ulam property for two-dimensional somewhere-flat spaces

DOI10.1016/j.laa.2018.09.024zbMath1415.46013OpenAlexW2892885314WikidataQ129195076 ScholiaQ129195076MaRDI QIDQ1629832

Xu-Jian Huang, Rui Dong Wang

Publication date: 12 December 2018

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2018.09.024

zbMATH Keywords

Tingley's problemMazur-Ulam propertyextension of isometries

Mathematics Subject Classification ID

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

Related Items (16)

A reflection on Tingley's problem and some applications ⋮ The Mazur–Ulam property for uniform algebras ⋮ Any isometry between the spheres of absolutely smooth 2-dimensional Banach spaces is linear ⋮ The Mazur-Ulam property in \(\ell_\infty\)-sum and \(c_0\)-sum of strictly convex Banach spaces ⋮ Can one identify two unital JB*-algebras by the metric spaces determined by their sets of unitaries? ⋮ Extension of quasi-Hölder embeddings between unit spheres of \(p\)-normed spaces ⋮ On the quasi-Figiel problem and extension of \(\varepsilon\)-isometry on unit sphere of \(\mathcal{L}_{\infty, 1^+}\) space ⋮ Unnamed Item ⋮ Extension of isometries from the unit sphere of a rank-2 Cartan factor ⋮ Every $2$-dimensional Banach space has the Mazur-Ulam property ⋮ Linearity of isometries between convex Jordan curves ⋮ Every non-smooth 2-dimensional Banach space has the Mazur-Ulam property ⋮ A property in vector-valued function spaces ⋮ The Mazur-Ulam property on Banach spaces of vector-valued continuous functions ⋮ On the Mazur-Ulam property for the space of Hilbert-space-valued continuous functions ⋮ A note on Tingley’s problem and Wigner’s theorem in the unit sphere of ^∞(Γ)-type spaces

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