Defines nonnegative rank for positive operators on ordered vector spaces, proves equality with usual rank for rank at most two, and exhibits a rank-three operator on C[0,1] with infinite nonnegative rank.
Shitov, Nonnegative rank of a matrix with one negative eigenvalue, Linear Multilinear Algebra 63 (2015), no
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On the nonnegative rank of positive operators
Defines nonnegative rank for positive operators on ordered vector spaces, proves equality with usual rank for rank at most two, and exhibits a rank-three operator on C[0,1] with infinite nonnegative rank.