论文标题
非正常$ n $ th的类准操作员的根源
Subnormal $n$th roots of quasinormal operators are quasinormal
论文作者
论文摘要
在最近的论文中，R。E。E. Curto，S。H。Lee，J。Yoon提出了以下问题：让$ a $为亚伸经操作员，并假设$ a^2 $是准性的。 $ a $是准性的吗？在本文中，我们对这个问题给出了肯定的答案。实际上，我们证明了更一般的结果表明，准算子的亚应贝$ n $ th根是准标准的。
In the recent paper, R. E. Curto, S. H. Lee, J. Yoon, asked the following question: Let $A$ be a subnormal operator, and assume that $A^2$ is quasinormal. Does it follow that $A$ is quasinormal? In this paper, we give an affirmative answer to this question. In fact, we prove more general result that subnormal $n$th roots of quasinormal operators are quasinormal.
