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| The Unitary Equivalence Problem of Unilateral Weighted Shifts | |
| 基金项目： | This research is supported by a grant of National Science Fundatton of China |
| 摘 要： | In this paper, we study the unilateral weighted shift which is unitarily equivalent to a Toeplitz operator and prove a similar result to that in 1] without the hypothesis that the shift must be hyponormal. As a corollary, we show that if the weight sequence {α_n}_(n=0)~∞ of the shift is convergent, then 1-a_n~2=(1-a_0~2)~(n 1) n≥0 |
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