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ORDER PRESERVING MAPS ON HERMITIAN MATRICES
Published online by Cambridge University Press: 07 June 2013
Abstract
We 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.
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- Copyright ©2013 Australian Mathematical Publishing Association Inc.
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