An improvement and a generalization of Rotfel'd type inequalities for sectorial matrices

Abstract

By using equivalence conditions for sectorial matrices obtained by Alakhrass and Sababheh in Linear Algebra Appl. (2020;586), we improve a Rotfel'd type inequality for sectorial matrices derived by Zhang in Linear Multilinear Algebra (2015;63) and generalize a recent result of Mao and Ji in Linear Algebra Appl. (2024;691).

Keywords:

• Polar decomposition
• Rotfel'd theorem
• sectorial matrix

2020 Mathematics Subject Classifications:

• 15A45
• 15A60

Acknowledgments

The authors thank professor Minghua Lin for reading the original version of this article and giving several valuable suggestions.

Disclosure statement

No potential conflict of interest was reported by the author(s).