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arXiv 2008-12-19 0 views

A Lieb-Thirring inequality for singular values

Audenaert, Koenraad M. R.

Original · EN

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(Bᵖ Aᵖ) σ((BA)ᵖ) hold, and for which values its reversed inequality σ(Bᵖ Aᵖ) σ((BA)ᵖ).

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