Linear Operators that Preserve Commuting Pairs of Nonnegative Real Matrices
Seok-Zun Song, LeRoy B. Beasley · Linear and Multilinear Algebra · 2003
A pair of n×n matrices (A, B) is called a commuting pair if AB=BA. We characterize the linear operators that preserve the set of commuting pairs of matrices over a subsemiring of nonnegative real numbers.