Abstract
In this paper we show that the extension of a surjective isometry on the unit sphere in a normed linear space is unique.
Citation
Tatsuya Nogawa. "Uniqueness of the extension of isometries on the unit spheres in normed linear spaces." Nihonkai Math. J. 25 (2) 147 - 149, 2014.
Information
Published: 2014
First available in Project Euclid: 26 March 2015
zbMATH: 1323.46006
MathSciNet: MR3326633
Subjects:
Primary:
46B04
Secondary:
46B20
Keywords:
isometry
,
Mazur-Ulam theorem
,
Tingley problem
Rights: Copyright © 2014 Niigata University, Department of Mathematics
