Full column rank preservers that preserve semipositivity of matrices
Chandrashekaran Arumugasamy, Sachindranath Jayaraman · Special Matrices · 2018
Abstract Left invertibility preservers on M m,n (ℝ), m ≥ n, that preserve either semipositivity of matrices or the subset of minimally semipositive matrices are studied. We prove that such maps cannot be degenerate. We also highlight the structure of nonsingular subspaces of dimension 2 in M 2 (ℝ).