ISOMETRIES BETWEEN UNIT SPHERES OF THE -SUM OF STRICTLY CONVEX NORMED SPACES

DOI10.1017/S000497271300018XzbMath1291.46007OpenAlexW2074349974MaRDI QIDQ2872002

Guang Gui Ding, Jian Ze Li

Publication date: 14 January 2014

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

Full work available at URL: https://doi.org/10.1017/s000497271300018x

zbMATH Keywords

isometric extensionTingley's problemstrictly convex normed space\(\ell^{\infty}\)-sum

Mathematics Subject Classification ID

Isometric theory of Banach spaces (46B04)

Related Items (3)

The Mazur-Ulam property in \(\ell_\infty\)-sum and \(c_0\)-sum of strictly convex Banach spaces ⋮ On extension of norm-additive maps between the positive unit spheres of \(\ell_q (\ell_p)\) ⋮ MAZUR–ULAM PROPERTY OF THE SUM OF TWO STRICTLY CONVEX BANACH SPACES

Cites Work

• Extension of isometries between unit spheres of finite-dimensional polyhedral Banach spaces
• The isometric extension of the into mapping from the unit sphere \(S_{1}(E)\) to \(S_{1}(l^{\infty}(\Gamma))\)
• On isometric extension problem between two unit spheres
• Isometries of the unit sphere
• On extension of isometries between unit spheres of \(\mathcal L^{\infty}(\Gamma)\)-type space and a Banach space \(E\)
• The representation theorem of onto isometric mappings between two unit spheres of \(l^\infty\)-type spaces and the application on isometric extension problem

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