The Minkowski's and Young type determinantal inequalities for certain accretive-dissipative matrices

Subject Areas : Linear and multilinear algebra; matrix theory

H. Qasemi ¹ , H. Larki ² , M. Dehghani-Madiseh ³

1 - Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz
2 - Young Reserchers & Elites Club, Hamedan Branch, Islamic Azad University, Hamedan, Iran
3 - Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz

Received: 2024-02-06 Accepted : 2024-08-08 Published : 2024-09-03

Keywords: Complex matrix‎, ‎Accretive-dissipative matrix‎, ‎Minkowski's determinantal inequality‎, ‎Young type determinantal inequality,

Abstract :

‎In this note‎, ‎we investigate the Minkowski's and Young type determinantal inequalities for accretive-dissipative matrices $S =A+iB$ satisfying $0

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