## Nihonkai Mathematical Journal

### Maps on the sphere of the algebras of matrices

Osamu Hatori

#### Abstract

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.

#### Article information

Source
Nihonkai Math. J., Volume 26, Number 2 (2015), 121-125.

Dates
Revised: 5 November 2015
First available in Project Euclid: 12 July 2016

https://projecteuclid.org/euclid.nihmj/1468334492

Mathematical Reviews number (MathSciNet)
MR3521506

Zentralblatt MATH identifier
1361.15029

#### Citation

Hatori, Osamu. Maps on the sphere of the algebras of matrices. Nihonkai Math. J. 26 (2015), no. 2, 121--125. https://projecteuclid.org/euclid.nihmj/1468334492

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