期刊论文详细信息
Journal of the Australian Mathematical Society | |
Invariant subspace lattices of Lambert's weighted shifts | |
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
【 预 览 】
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