On linear preservers of semipositive matrices

Article Type

Research Article

Publication Title

Electronic Journal of Linear Algebra

Abstract

Given proper cones K1 and K2 in Rn and Rm, respectively, an m × n matrix A with real entries is said to be semipositive if there exists ax ∈ Ko1 such that ax ∈ Ko2, where Ko denotes the interior of a proper cone K. This set is denoted by S(K1,K2). We resolve a recent conjecture on the structure of into linear preservers of S(Rn+,Rm+). We also determine linear preservers of the set S(K1,K2) for arbitrary proper cones K1 and K2. Preservers of the subclass of those elements of S(K1,K2) with a (K2,K1)-nonnegative left inverse as well as connections between strong linear preservers of S(K1,K2) with other linear preserver problems are considered.

First Page

88

Last Page

112

DOI

10.13001/ela.2021.5397

Publication Date

1-1-2021

Comments

Open Access, Bronze, Green

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