The Dual of the Compressed Shift

Author:

Câmara M. C.,Ross W. T.

Abstract

AbstractFor an inner function u, we discuss the dual operator for the compressed shift $P_u S|_{{\mathcal {K}}_u}$, where ${\mathcal {K}}_u$ is the model space for u. We describe the unitary equivalence/similarity classes for these duals as well as their invariant subspaces.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Multipliers and equivalence of functions, spaces, and operators;Banach Journal of Mathematical Analysis;2024-05-05

2. Cyclic multiplicity of a direct sum of forward and backward shifts;Proceedings of the American Mathematical Society;2023-03-21

3. Invariant subspaces of the direct sum of forward and backward shifts on vector-valued Hardy spaces;Journal of Functional Analysis;2022-05

4. Characterizations of dual truncated Toeplitz operators;Journal of Mathematical Analysis and Applications;2021-04

5. Nearly Invariant Subspaces with Applications to Truncated Toeplitz Operators;Complex Analysis and Operator Theory;2020-10-28

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