On J-C-Numerical Range And Its Generalizations
Subject Areas : International Journal of Industrial Mathematics
Ali Reza Janfada
1
(
گروه ریاضی- دانشکده علوم ریاضی و آمار- دانشگاه بیرجند
)
یم لشکری
2
(
گروه ریاضی- دانشکده علوم ریاضی و آمار- دانشگاه بیرجند
)
Keywords: Joint numerical range, C-numerical range, J-C-numerical range, star-shaped, star-center.,
Abstract :
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.