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Preservers of Matrix Pairs with a Fixed Inner Product Value
Li, Chi-Kwong Plevnik, Lucijan Semrl, Peter
Li, Chi-Kwong
Plevnik, Lucijan
Semrl, Peter
Abstract
Let y' be the set of n x n hermitian matrices, the set of n x n symmetric matrices, the set of all effects, or the set of all projections of rank one. Let c be a real number. We characterize bijective maps phi : y' -> y' satisfying tr (AB) = c double left right arrow tr (phi(A)phi(B)) = c with some additional restrictions on c, depending on the underlying set of matrices.
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2012-01-01
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Mathematics
DOI
10.7153/oam-06-29