Cyclic vectors for backward hyponormal weighted shifts

Shelley Walsh
1986 Proceedings of the American Mathematical Society  
A unilateral weighted shift T on a Hubert space H is an operator such that Ten = wne"+¡ for some orthonormal basis { e" }¡f_ o and weight sequence { wh }?-o-"f we assume wn > 0, for all n, and let ß(n) = w0 ■ ■ ■ w/¡_¡ for n > 0 and ß(0) = 1, then T is unitarily equivalent to/1-» zf on the weighted space H2(ß) of formal power series E^_0
doi:10.1090/s0002-9939-1986-0813821-0 fatcat:d52zg3y6tzdsvatm3rpe5mkzii