Invariant subspace lattices of Lambert's weighted shifts

Journal of the Australian Mathematical Society

B. S. Yadav¹ 

[1] S. Chatterjee

关键词: primary 47 A 15;    47 B 99;    secondary 47 C 05;   

DOI  :  10.1017/S1446788700017699

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

Let B(H) be the Banach algebra of all (bounded linear) operators on an infinite-dimensional separable complex Hilbert space H and letbe a bounded sequence of positive real numbers. For a given injective operator A in B(H) and a non-zero vector f in H, we putWe define a weighted shift Tw with the weight sequenceon the Hilbert space 12 of all square-summable complex sequencesby . The main object of this paper is to characterize the invariant subspace lattice of Tw under various nice conditions on the operator A and the sequence .

【 授权许可】

Unknown