On extension of isometries between the unit spheres of normed space \(E\) and \(l^p\) \((p > 1)\)

DOI10.1007/s10114-009-7376-4zbMath1186.46011OpenAlexW1972198380MaRDI QIDQ839738

Rui Dong Wang, Ji Jin Yi

Publication date: 3 September 2009

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

Full work available at URL: https://doi.org/10.1007/s10114-009-7376-4

zbMATH Keywords

isometric extensionstrictly convexisometric mapping

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isometric theory of Banach spaces (46B04) Representation theory of linear operators (47A67)

Cites Work

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• The isometric extension problem in the unit spheres of \(l^p(\Gamma)(p>1)\) type spaces
• Extension of isometries between the unit spheres of normed space \(E\) and \(C(\Omega)\)
• Properties of isometric mappings
• On the extension of isometries between unit spheres of \(E\) and \(C(\Omega)\).
• Isometries of the unit sphere
• The representation theorem of onto isometric mappings between two unit spheres of \(l^1(\Gamma)\) type spaces and the application to the isometric extension problem

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