论文标题
一些单细胞操作员的权力子空间
Invariant subspaces of powers of some unicellular operators
论文作者
论文摘要
在本文中，我们研究了在可分离的希尔伯特空间上的单细胞向后加权转移算子的平方和立方体（分别以及共同）下不变的子空间。有限维子空间的特征是所有权重，而无限维子空间的特征是两类的权重。
In this paper we study subspaces which are invariant under squares and cubes (separately as well as jointly) of unicellular backward weighted shift operators on a separable Hilbert space. The finite-dimensional subspaces are characterized for all weights and the infinite-dimensional subspaces are characterized for two classes of weights.
