Linear operators preserving L-matrices Original Research Article

We investigate the linear operators that preserve the set of L-matrices. We show that a linear operator T preserves the set of L-matrices and T is also one-to-one on the set of cells if and only if T strongly preserves the set of L-matrices. In each case, T preserves the set of matrices of term rank 1. Then by a result of Beasley and Pullman on preservers of matrices of term rank 1, we can obtain the structure of T.