Extension of isometries on the unit sphere of \(l ^{p }(\Gamma )\) space
type: Item
instance of: scholarly article
title: Extension of isometries on the unit sphere of \(l ^{p }(\Gamma )\) space
zbMATH Open document ID: 1200.46016
published in: Science China. Mathematics
publication date: 2010-06-21T00:00:00Z
Mathematics Subject Classification ID: 46B04
Mathematics Subject Classification ID: 46B20
zbMATH DE Number: 5723668
zbMATH Keywords: isometric extension
zbMATH Keywords: \(l ^{p }(\Gamma )\) space
zbMATH Keywords: isometry
zbMATH Keywords: 1-Lipschitz mapping
author: Xi Nian Fang
author: Jian-Hua Wang
MaRDI profile type: Publication
full work available at URL: s11425-010-0028-4
OpenAlex ID: W2165498677
cites work: A geometric characterization of the nonlinear Schrödinger equation
cites work: On the extension of isometries between unit spheres of \(E\) and \(C(\Omega)\).
cites work: The isometric extension problem in the unit spheres of \(l^p(\Gamma)(p>1)\) type spaces
cites work: The representation theorem of onto isometric mappings between two unit spheres of \(l^\infty\)-type spaces and the application on isometric extension problem
cites work: 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
cites work: The isometric extension of the into mapping from a \(\mathcal{L}^{\infty}(\Gamma)\)-type space to some Banach space
cites work: On isometric extension problem between two unit spheres
cites work: Q5430248
cites work: Extension of isometries between the unit spheres of normed space \(E\) and \(C(\Omega)\)
cites work: Q3538673
cites work: On extension of isometries between unit spheres of \(\mathcal L^{\infty}(\Gamma)\)-type space and a Banach space \(E\)
cites work: Q5643067
cites work: Q4333558
cites work: Q5593890
cites work: Isometries of the unit sphere
cites work: On extension of isometries between unit spheres of 𝐴𝐿_{𝑝}-spaces (0<𝑝<∞)
DOI: 10.1007/S11425-010-0028-4
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description: scientific article; zbMATH DE number 5723668