MAZUR–ULAM PROPERTY OF THE SUM OF TWO STRICTLY CONVEX BANACH SPACES

DOI10.1017/S0004972715001215zbMath1357.46013MaRDI QIDQ2814347

Jian Ze Li

Publication date: 21 June 2016

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

strict convexityMazur-Ulam propertyisometric extension problem

Mathematics Subject Classification ID

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

Related Items (6)

A reflection on Tingley's problem and some applications ⋮ The Mazur-Ulam property in \(\ell_\infty\)-sum and \(c_0\)-sum of strictly convex Banach spaces ⋮ The Mazur–Ulam property for the space of complex null sequences ⋮ 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

Cites Work

• On a generalized Mazur-Ulam question: Extension of isometries between unit spheres of Banach spaces
• Extension of isometries between unit spheres of finite-dimensional polyhedral Banach spaces
• Tingley's problem on symmetric absolute normalized norms on \(\mathbb R^2\)
• On isometric extension problem between two unit spheres
• Isometries of the unit sphere
• Sharp corner points and isometric extension problem in Banach spaces
• ISOMETRIES BETWEEN UNIT SPHERES OF THE -SUM OF STRICTLY CONVEX NORMED SPACES
• A FURTHER PROPERTY OF SPHERICAL ISOMETRIES

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