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arxiv: 1001.3803 · v6 · pith:YXSLOPVAnew · submitted 2010-01-21 · 🧮 math.FA

A matrix trace inequality and its application

classification 🧮 math.FA
keywords inequalitymatricesmatrixpositivesemidefinitetraceaffirmativeanswer
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In this short paper, we give a complete and affirmative answer to a conjecture on matrix trace inequalities for the sum of positive semidefinite matrices. We also apply the obtained inequality to derive a kind of generalized Golden-Thompson inequality for positive semidefinite matrices.

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