ORDER PRESERVING MAPS ON HERMITIAN MATRICES

Author:

ŠEMRL PETER,SOUROUR AHMED RAMZI

Abstract

AbstractWe prove that a continuous map $\phi $ defined on the set of all $n\times n$ Hermitian matrices preserving order in both directions is up to a translation a congruence transformation or a congruence transformation composed with the transposition.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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