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Inequalities on partial traces of positive semidefinite block matrices

Part of: Basic linear algebra Special classes of linear operators

Published online by Cambridge University Press:  18 December 2020

Xiaohui Fu ,
Pan-Shun Lau  and
Tin-Yau Tam
Xiaohui Fu
Affiliation:
Department of Mathematics and Statistics, Hainan Normal University, Haikou, ChinaKey Laboratory of Data Science and Intelligence Education (Hainan Normal University), Ministry of Education, Haikou, China and Key Laboratory of Computational Science and Application of Hainan Province, Haikou, Chinae-mail:fxh6662@sina.com
Pan-Shun Lau*
Affiliation:
Department of Mathematics & Statistics, University of Nevada, Reno, NV89557-0084, USAe-mail:ttam@unr.edu
Tin-Yau Tam
Affiliation:
Department of Mathematics & Statistics, University of Nevada, Reno, NV89557-0084, USAe-mail:ttam@unr.edu
*
e-mail:plau@unr.edu
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Abstract

Inequalities on partial traces of positive semidefinite matrices are studied. Extensions of several existing inequalities on the determinant of partial traces are then obtained. Particularly, we improve a determinantal inequality given by Lin [Canad. Math. Bull. 59(2016)].

Keywords

Partial tracespositive semidefinitedeterminant

MSC classification

Primary: 15A42: Inequalities involving eigenvalues and eigenvectors 15A45: Miscellaneous inequalities involving matrices 47B65: Positive operators and order-bounded operators
Type
Article
Information
Canadian Mathematical Bulletin , Volume 64 , Issue 4 , December 2021 , pp. 964 - 969
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Copyright
© Canadian Mathematical Society 2020

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