Document Type
Article
Department/Program
Mathematics
Journal Title
Operators and Matrices
Pub Date
2012
Volume
6
Issue
3
First Page
433
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.
Recommended Citation
Li, Chi-Kwong; Plevnik, Lucijan; and Semrl, Peter, Preservers of Matrix Pairs with a Fixed Inner Product Value (2012). Operators and Matrices, 6(3), 433-464.
10.7153/oam-06-29
DOI
10.7153/oam-06-29
COinS
