Title of article :
Cartesian decomposition of matrices and some norm inequalities
Author/Authors :
Aghamollaei, Gholamreza Department of Pure Mathematics - Faculty of Mathematics and Computer - Shahid Bahonar University of Kerman - Kerman, Islamic Republic of Iran , Sheikhhosseinia, Alemeh Department of Pure Mathematics - Faculty of Mathematics and Computer - Shahid Bahonar University of Kerman - Kerman, Islamic Republic of Iran
Abstract :
Let X be an n-square complex matrix with the Cartesian decomposition X = A + iB, where A and B are n n Hermitian
matrices. It is known that ∥X∥2 p 2(∥A∥2 p + ∥B∥2 p), where p 2
and ∥:∥p is the Schatten pnorm. In this paper, this inequality
and some of its improvements are studied and investigated for
the joint C-numerical radius, joint spectral radius, and for the
C-spectral norm of matrices.
Keywords :
C- spectral norm , joint C - numerical radius
Journal title :
Astroparticle Physics
