余大海,代正贵.关于加权位移的酉等价问题(英文)[J].数学研究及应用,1989,9(2):221~226
关于加权位移的酉等价问题(英文)
The Unitary Equivalence Problem of Unilateral Weighted Shifts
投稿时间:1987-01-08  
DOI:10.3770/j.issn:1000-341X.1989.02.011
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余大海 四川大学数学系 
代正贵 四川教育学院 
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      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 {an}n=0 of the shift is convergent, then 1-an2=(1-a02)n+1 ?n≥0
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