张量对称类上诱导算子的y-数值半径

摘要

本文研究了诱导矩阵K(A)的y-数值半径ry(K(A))、y-可分数值半径rxy(K(A))与范数||A||2、广义矩阵函数dGx(A)之间的关系问题.利用ry(K(A))及rxy(K(A))的概念,得到了ry(K(A))、rxy(K(A))、||A||2、dGx(A)它们之间的两个不等式.%In the paper,we study the y-numerical radius ry (K(A)),y-decomposable numerical radius rxy(K(A)) and the norm ||A||2,the generalized matrix function dGx(A) relations.By using the definition of ry (K(A)) and rxy (A),two matrix inequalities involving ry (K(A)),rxy (A),|| A ||2 and dGx (A) are obtained.