Inequalities related to partial trace and block Hadamard product

Abstract

In this paper, we present inequalities related to partial trace and block Hadamard product for positive semidefinite matrices. Some interesting results involving block matrices will be also derived.

Keywords:

• Partial trace
• positive semidefinite
• block Hadamard matrix

AMS Subject Classifications:

• 47B65
• 15A42
• 15A45

Acknowledgements

We would like to thank the anonymous reviewer for his/her positive review and suggestions for improvement of the paper.

Notes

No potential conflict of interest was reported by the author.