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arXiv:1109.3057 [math.FA]AbstractReferencesReviewsResources

Trace inequalities for completely monotone functions and Bernstein functions

Koenraad M. R. Audenaert

Published 2011-09-14Version 1

We prove a matrix trace inequality for completely monotone functions and for Bernstein functions. As special cases we obtain non-trivial trace inequalities for the power function x->x^q, which for certain values of q complement McCarthy's trace inequality and for others strenghten it.

Comments: 16 pages
Journal: Linear Algebra Appl. 437(2), 601-611 (2012)
Categories: math.FA
Subjects: 15A60
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