Projesh Nath Choudhury, M. Rajesh Kannan, K. C. Sivakumar
Published 2018-06-19Version 1
Semipositive matrices (matrices that map at least one nonnegative vector to a positive vector) and minimally semipositive matrices (semipositive matrices whose no column-deleted submatrix is semipositive) are well studied in matrix theory. In this short note, we study the structure of linear maps which preserve the set of all semipositive and minimal semipositive matrices.
Linear preservers of majorization on $\ell^p(I)$
Linear preservers of copositive and completely positive matrices
Dilations of Linear Maps on Vector Spaces
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