二次数值半径相关问题研究
Research on the Related Problems of Quadratic Numerical Radius
摘要:
本文利用Spectraloid算子及分块算子矩阵的方法研究了有界分块算子矩阵的二次数值半径不等式的问题,得到两个乘积算子的二次数值半径不等式及分块算子矩阵的二次数值半径幂不等式的性质。
Abstract:
In this paper, the quadratic numerical radius of 2 × 2 block operator matrices is studied by method of Spectraloid operator and block operator matrices, and the multiplicative properties of quadratic numerical radius and power inequality of quadratic numerical radius are obtained.
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