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 weig...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].展开更多
文摘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].