Extension of isometries between unit spheres of finite-dimensional polyhedral Banach spaces

We prove that an onto isometry between unit spheres of finite-dimensional polyhedral Banach spaces extends to a linear isometry of the corresponding spaces.

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Bibliographic Details
Published in:	Journal of mathematical analysis and applications Vol. 396; no. 2; pp. 441 - 447
Main Authors:	Kadets, Vladimir, Martín, Miguel
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 15-12-2012
Subjects:	Banach space Extension of isometries Polyhedral space Tingley’s problem Tingley’s problem Extension of isometries Banach space Polyhedral space
Online Access:	Get full text
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Description
Summary:	We prove that an onto isometry between unit spheres of finite-dimensional polyhedral Banach spaces extends to a linear isometry of the corresponding spaces.
ISSN:	0022-247X 1096-0813
DOI:	10.1016/j.jmaa.2012.06.031