Operator inequalities involving Khatri-Rao Sums and Moore-Penrose inverses
Arnon Ploymukda, Pattrawut Chansangiam · Malaysian Journal of Fundamental and Applied Sciences · 2017
We establish relations between the Khatri-Rao sum of Hilbert space operators and ordinary products, powers, ordinary inverses, and Moore-Penrose inverses in terms of inequalities. In particular, such relations hold for the tensor sum of operators and the Khatri-Rao sum of complex matrices.