论文标题
$ c $ - 正常运算符的一项扰动的正常
$C$-normality of rank-one perturbations of normal operators
论文作者
论文摘要
对于可分离的复杂希尔伯特太空$ h $，我们说在$ h $上作用的有限线性运算符$ t $是$ c $ - 纳米，其中$ c $是$ h $的共轭，如果满足$ ct^*tc = tc = tt^*$。对于普通运算符，我们提供几何条件，以确保其排名一扰动是某些共轭$ c $的$ C $ normal。
For a separable complex Hilbert space $H$, we say that a bounded linear operator $T$ acting on $H$ is $C$-normal, where $C$ is a conjugation on $H$, if it satisfies $CT^*TC=TT^*$. For a normal operator, we give geometric conditions which guarantee that its rank-one perturbation is a $C$-normal for some conjugation $C$.
