On J-C-Numerical Range And Its Generalizations
Subject Areas : International Journal of Industrial MathematicsAli Reza Janfada 1 , یم لشکری 2
1 - Department of Mathematics, University of Birjand, Birjand, Iran.
2 - Department of Mathematics, University of Birjand, Birjand, Iran.
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.