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

Subject Areas : Linear and multilinear algebra; matrix theory

H. Qasemi ¹ (Department of Mathematics‎, ‎Faculty of Mathematical Sciences and Computer‎, ‎Shahid Chamran University of Ahvaz‎, ‎P.O‎. ‎Box‎. ‎83151-61357‎, ‎Ahvaz‎, ‎Iran)
H. Larki ² (Department of Mathematics‎, ‎Faculty of Mathematical Sciences and Computer‎, ‎Shahid Chamran University of Ahvaz‎, ‎P.O‎. ‎Box‎. ‎83151-61357‎, ‎Ahvaz‎, ‎Iran)
M. Dehghani-Madiseh ³ (Department of Mathematics‎, ‎Faculty of Mathematical Sciences and Computer‎, ‎Shahid Chamran University of Ahvaz‎, ‎P.O‎. ‎Box‎. ‎83151-61357‎, ‎Ahvaz‎, ‎Iran)

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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