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Some singular values and unitarily invariant norm inequalities concerning generalized inverses

Some singular values and unitarily invariant norm inequalities concerning generalized inverses

We sharpen and extend inequalities concerning generalized inverses previously obtained for the von Neumann-Schatten, and supremum, norms. We sharpen those inequalities to obtain corresponding inequalities for singular values Si(?) for i=1,2?; and we extend those inequalities, for finite rank operators, to inequalities for an arbitrary unitarily invariant norm.