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2015 Maps on the sphere of the algebras of matrices
Osamu Hatori
Nihonkai Math. J. 26(2): 121-125 (2015).


Let $S_n$ be the unit sphere with respect to the operator norm of the algebra of $n\times n$ complex matrices. We give a complete description of the form of surjections on $S_n$ which preserve the metric induced by a unitarily invariant strictly convex norm.


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Osamu Hatori. "Maps on the sphere of the algebras of matrices." Nihonkai Math. J. 26 (2) 121 - 125, 2015.


Received: 27 October 2015; Revised: 5 November 2015; Published: 2015
First available in Project Euclid: 12 July 2016

zbMATH: 1361.15029
MathSciNet: MR3521506

Primary: 15A60
Secondary: 15A86 , 46B04

Keywords: algebra of matrices , isometry , sphere , strictly convex norm , ‎unitarily invariant norm

Rights: Copyright © 2015 Niigata University, Department of Mathematics

Vol.26 • No. 2 • 2015
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