算子代数上的保谱乘子及保数值域线性映射

SPECTURM PRESERVING MULTIPLICATIONS AND NUMERICAL RANGE PRESERVING MAPS ON OPERATOR ALGEBRAS

本文得到了某些算子代数上乘子的保谱性、保可逆性以及保半可逆性条件,还给出一般C-代数上保数值域线性映射的一个特征。

In this peper, the conditions for the multiplications on some operator algebras to be spectrum preserving, invertibility preserving or left (right )invertibility preserving are ob- tained. A characterization of numerical range preserving operators on C--algebras is also given.