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

Bercovici, Hari; Collins, Benoit; Dykema, Ken; Li, Wing Suet

doi:10.1016/j.bulsci.2014.10.002

arXiv 2013-06-27 DOI 10.1016/j.bulsci.2014.10.002 0 views

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

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

Operator Algebras 15A42, 46L10

Original · EN

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 Mₙ(C), which seems to be new insofar as we do not require A and B to be invertible.

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