Positive commutators of positive square-zero operatorsDrnovšek, Roman (Avtor) Kandić, Marko (Avtor) Banach latticespositive operatorsnonnegative matricescommutatorsIn this paper we first consider the question which nonnegative matrices are commutators of nonnegative square-zero matrices. Then, we treat infinite-dimensional analogues of these results for operators on the Banach lattices $L^p[0,1]$ and $\ell^p(1\le p<\infty)$. In the last setting we need to extend the notion of the nonnegative rank of a nonnegative matrix.20262026-04-15 10:02:52Neznano28966sl