TY - JOUR ID - 23238 TI - Cartesian decomposition of matrices and some norm inequalities JO - Wavelet and Linear Algebra JA - WALA LA - en SN - 2383-1936 AU - Sheikhhosseini, Alemeh AU - Aghamollaei, Golamreza AD - Department of Pure Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran AD - Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran Y1 - 2016 PY - 2016 VL - 3 IS - 2 SP - 33 EP - 42 KW - ‎joint C-numerical radius‎ KW - ‎C-spectral norm‎ KW - ‎joint spectral radius DO - 10.22072/wala.2016.23238 N2 - Let ‎X be an ‎‎n-‎‎‎‎‎‎square complex matrix with the ‎Cartesian decomposition ‎‎X = A + i ‎B‎‎‎‎‎, ‎where ‎‎A ‎and ‎‎B ‎are ‎‎‎n ‎‎times n‎ ‎Hermitian ‎matrices. ‎It ‎is ‎known ‎that ‎‎$Vert X Vert_p^2 ‎leq 2(Vert A Vert_p^2 + Vert B Vert_p^2)‎‎‎$, ‎where ‎‎$‎p ‎‎geq 2‎$‎ ‎and ‎‎$‎‎Vert . Vert_p$ ‎is ‎the ‎Schatten ‎‎‎‎p-norm.‎ ‎‎ ‎‎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. UR - https://wala.vru.ac.ir/article_23238.html L1 - https://wala.vru.ac.ir/article_23238_64b86b56682082a7a0b0f1d249c90a93.pdf ER -