摘要
设H是复的可分Hilbert空间，｛am｝∞^m=0是由正实数组成的有界数列，对于H上的内射有界线性算子A，以及f(≠0）∈H，我们令ωm=αm||A^m+1f||/||A^mf|| m=0,1,2,…。设Tω是H以上｛am｝m^∞=0为权序列的单边加权移位算子。本文讨论了Tω的单胞性，其主要结果推广了B.S.Yadav和S.Chatterjee的工作[4]。
Let H be an infinite-dimensional separable complex Hilbert space and let {am}0 be a bounded sequence of positive real numbers.For a given injective operator A on H and a non-zero vector f in H,we put We define a weighted shift T_w with the weight sequence {w_m) on H.In this paper,we mainly discuss the unieellularity of T_w.The main results of this paper generalized B.S yadav and S.Chatterjee's work in [4].
