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

الموضوعات :

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, ‎P.O‎. ‎Box‎. ‎83151-61357‎, ‎Ahvaz‎, ‎Iran
2 - Department of Mathematics‎, ‎Faculty of Mathematical Sciences and Computer‎, ‎Shahid Chamran University of Ahvaz‎, ‎P.O‎. ‎Box‎. ‎83151-61357‎, ‎Ahvaz‎, ‎Iran
3 - Department of Mathematics‎, ‎Faculty of Mathematical Sciences and Computer‎, ‎Shahid Chamran University of Ahvaz‎, ‎P.O‎. ‎Box‎. ‎83151-61357‎, ‎Ahvaz‎, ‎Iran

تاريخ الإرسال : 25 الثلاثاء , رجب, 1445 تاريخ التأكيد : 04 الخميس , صفر, 1446 تاريخ الإصدار : 30 الثلاثاء , صفر, 1446

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

ملخص المقالة :

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

المصادر:

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[6] J. Xue, X. Hu, Singular value inequalities for sector matrices, Filomat. 33 (16) (2019), 5231-5236.