International Journal of Advanced Multidisciplinary Research and Studies
Volume 2, Issue 2, 2022
Characterization of Numerical ranges of Matrix Operators in Hilbert Spaces
Author(s): Benard Okelo, James Mbugua Ngigi
Abstract:
Let H be a Hilbert space. Let A be a 3 X 3 complex matrix whose numerical range, W (A) , is an ellipse. Also let W(A) ⊂ ? where ? is a convex subset of the complex plane. We determine the value of ψD(A) by reducing it to the case of 2 X 2 matrix with elliptical numerical range.
Keywords: Matricial Operator, Hilbert Space, Holomorphic
Pages: 171-183
Download Full Article: Click Here