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arXiv · 1306.6434

Characterization of singular numbers of products of operators in matrix algebras and finite von Neumann algebras

Hari Bercovici·Benoit Collins·Ken Dykema·Wing Suet Li
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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.

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Hari Bercovici, Benoit Collins, Ken Dykema, Wing Suet Li. 2013-06-27. Characterization of singular numbers of products of operators in matrix algebras and finite von Neumann algebras. https://doi.org/10.1016/j.bulsci.2014.10.002

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