Abstract
For the Hardy space H 2 E (R) over a at unitary vector bundle E on a finitely connected domain R, let TE be the bundle shift as [3]. If \(\mathcal{B}\) is a reductive algebra containing every operator ψ(TE) for any rational function ψ with poles outside of R, then \(\mathcal{B}\) is self adjoint.
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Project Supported by Scientific and Technological Research Program of Chongqing Municipal Education Commission(KJQN201801110), Chongqing Science and Technology Commission(CSTC2015jcyjA00045, cstc2018jcyjA2248) and NSFC (11871127).
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Xu, Aj. Reductivity and bundle shifts. Appl. Math. J. Chin. Univ. 34, 27–32 (2019). https://doi.org/10.1007/s11766-019-3395-9
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DOI: https://doi.org/10.1007/s11766-019-3395-9