有限BIR分解在相似下唯一的一类算子

A Class of Operators with Unique Finite BIR Decomposition with Respect to Similarity

本文证明了H^p(T)(1≤p≤∞)空间上以n阶Blaschke乘积为符号的Toeplitz算子相似于⊕_nT_z,从而证明了这类算子的有限BIR分解在相似下唯一．

In this paper, we prove that the Toeplitz operator Tq on H^p（T）（1≤p≤∞） is similar to⊕nTz,, where q is a Blaschke product of n order. Furthermore, we obtain that Tq has a unique finite BIR decomposition with respect to similarity.