A Lieb-Thirring inequality for singular values

نویسنده

  • Koenraad M.R. Audenaert
چکیده

Let A and B be positive semidefinite matrices. We investigate the conditions under which the Lieb-Thirring inequality can be extended to singular values. That is, for which values of p does the majorisation σ(BpAp) ≺w σ((BA) p) hold, and for which values its reversed inequality σ(BpAp) ≻w σ((BA) p).

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تاریخ انتشار 2008