Characterization of singular numbers of products of operators in matrix algebras and finite von Neumann algebras
arXiv:1306.6434 · doi:10.1016/j.bulsci.2014.10.002
Abstract
We characterize in terms of inequalities the possible generalized singular numbers of a product AB of operators A and B having given generalized singular numbers, in an arbitrary finite von Neumann algebra. We also solve the analogous problem in matrix algebras M_n(C), which seems to be new insofar as we do not require A and B to be invertible.
16 pages