Title of article :
Some results on higher numerical ranges and radii of quaternion matrices
Author/Authors :
Aghamollaei, Gh. Department of Pure Mathematics - Faculty of Mathematics and Computer - Shahid Bahonar University of Kerman , Haj Aboutalebi, N. Department of Mathematics - Islamic Azad University, Shahrood Branch
Abstract :
Let n and k be two positive integers, k ⩽ n and A be an nsquare quaternion
matrix. In this paper, some results on the knumerical range of A are investigated. Moreover, the notions of k-numerical radius, right k-spectral radius and k-norm of A are introduced, and some of their algebraic properties are studied.
Keywords :
k-Numerical radius , right k-spectral radius , k-norm , quaternion matrices
Journal title :
Astroparticle Physics
