On J-C-Numerical Range And Its Generalizations

محورهای موضوعی : مجله بین المللی ریاضیات صنعتی

Ali Reza Janfada ¹ , Maryam Lashkaray ²

1 - Department of Mathematics, University of Birjand, Birjand, Iran.
2 - Department of Mathematics, University of Birjand, Birjand, Iran.

تاریخ دریافت : 1402/10/02 تاریخ پذیرش : 1403/05/21 تاریخ انتشار : 1403/06/31

کلید واژه: Joint numerical range, C-numerical range, J-C-numerical range, star-shaped, star-center.,

چکیده مقاله :

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.

چکیده انگلیسی:

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.