The Unitary Equivalence Problem of Unilateral Weighted Shifts
Received:January 08, 1987  
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Fund Project:This research is supported by a grant of National Science Fundatton of China.
Author NameAffiliation
Yu Dahai Department of Mathematics Sichuan University 
Dai Zhenggui Sichuan Education College 
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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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