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Isometric extension problem between strictly convex two-dimensional normed spaces

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Publication:1734953
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DOI10.1007/s10114-019-7509-3zbMath1421.46010OpenAlexW2942779861MaRDI QIDQ1734953

Guang Gui Ding, Jian Ze Li

Publication date: 27 March 2019

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-019-7509-3

zbMATH Keywords

isometric extensionstrictly convexunit spheresmooth pointadditive mapTingley's problem


Mathematics Subject Classification ID

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


Related Items

Extension of isometries between the unit spheres of \(p\)-normed spaces, Any isometry between the spheres of absolutely smooth 2-dimensional Banach spaces is linear



Cites Work

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  • The isometric extension problem between unit spheres of two separable Banach spaces
  • Tingley's problem on symmetric absolute normalized norms on \(\mathbb R^2\)
  • On isometric extension problem between two unit spheres
  • Isometries and additive mapping on the unit spheres of normed spaces
  • Isometries of the unit sphere
  • Sharp corner points and isometric extension problem in Banach spaces
  • On the linearly isometric extension problem
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