论文标题
关于操作员对不变子空间的限制的相似性
On the similarity of restriction of the operator to an invariant subspace
论文作者
论文摘要
令$ m_ {z} $为伯格曼空间上的乘法运算符，$ m_ {i} $表示$ m_ {z} $的限制对不变的子空间$ i $。 K. Zhu提出的一个问题是，当两个限制运算符$ m_ {i} $和$ m_ {j} $是相似的吗？在本说明中，我们在一般情况下给出了一些足够的条件。
Let $M_{z}$ be the multiplication operator on the Bergman space and $M_{I}$ denote the restriction of $M_{z}$ to an invariant subspace $I$. A question raised by K. Zhu is that when are two restriction operators $M_{I}$ and $M_{J}$ are similar? In this note, we give some sufficient conditions of this problem in a general case.
