On J-C-Numerical Range And Its Generalizations

الموضوعات : مجله بین المللی ریاضیات صنعتی

Ali Reza Janfada ¹ (Department of Mathematics, University of Birjand, Birjand, Iran.)
Maryam Lashkaray ² (Department of Mathematics, University of Birjand, Birjand, Iran.)

تاريخ الإرسال : 10 السبت , جمادى الثانية, 1445 تاريخ التأكيد : 07 الأحد , صفر, 1446 تاريخ الإصدار : 18 السبت , ربيع الأول, 1446

الکلمات المفتاحية: Joint numerical range, C-numerical range, J-C-numerical range, star-shaped, star-center.,

ملخص المقالة :

Abstract: In this paper, we study the J-C-numerical range of a set or a tuple of matrices and investigate their basic properties. In this paper, we study the J-C-numerical range of a set or a tuple of matrices and investigate their basic properties. Also, we give the conditions of star-shapedness of the J-C-numerical range. Finally, we generalize these results to a set of matrices.