ORDER PRESERVING MAPS ON HERMITIAN MATRICES

PETER ŠEMRL, AHMED RAMZI SOUROUR
2013 Journal of the Australian Mathematical Society  
We prove that a continuous map φ defined on the set of all n × n Hermitian matrices preserving order in both directions is up to a translation a congruence transformation or a congruence transformation composed with the transposition. 2010 Mathematics subject classification: primary 15B48; secondary 15B57.
doi:10.1017/s1446788713000104 fatcat:eq43cd767ffargy7vbechl7egm