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Extensions of Fiedler-Markham's inequality and Thompson's inequality

2020/02/28 by Li, Yongtao, Huang, Yang, Feng, Lihua +1
#15A45 #15A60 #47B65 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2003.00904

Abstract

We present some new inequalities related to determinant and trace for positive semidefinite block matrices by using symmetric tensor product, which are extensions of Fiedler-Markham's inequality and Thompson's inequality.

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