Extension of isometries on unit sphere of \(L^\infty\)
type: Item
instance of: scholarly article
title: Extension of isometries on unit sphere of \(L^\infty\)
zbMATH Open document ID: 1244.46003
author: Dong-Ni Tan
published in: Taiwanese Journal of Mathematics
publication date: 2011-10-05T00:00:00Z
review text: The author gives a simple proof of the fact that every surjective isometry from the unit sphere of \(L^\infty\) to the unit sphere of a Banach space can be extended to be a linear isometry on the whole space \(L^\infty\). As the author explains this result can be deduced from Theorem~3.11 in [\textit{R. Liu} and \textit{L. Zhang}, J. Math. Anal. Appl. 352, No. 2, 749--761 (2009; Zbl 1160.46305)].
reviewed by: Javier Merí
Mathematics Subject Classification ID: 46B04
Mathematics Subject Classification ID: 46B20
zbMATH DE Number: 5954246
zbMATH Keywords: extension of isometries
zbMATH Keywords: Tingley's problem
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.11650/twjm/1500406236
OpenAlex ID: W2605605058
DOI: 10.11650/TWJM/1500406236
description: scientific article; zbMATH DE number 5954246