Reducing subspaces for the product of a forward and a backward operator-weighted shifts

Xu, Tao; Gu, Caixing; Lu, Yufeng; Shi, Yanyue

doi:10.1016/j.jmaa.2021.125206

Journal of Mathematical Analysis and Applications

2021

DOI: 10.1016/j.jmaa.2021.125206

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Reducing subspaces for the product of a forward and a backward operator-weighted shifts

Tao Xu

Caixing Gu

Yufeng Lu

et al.

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2023

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Thomson-type 定理 for the multiplication operators on the Bergman space of the annulus

Kunyu,

Hansong

2023

Sci. Sin.-Math.

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Thomson's theorem implies that on the Bergman space over the unit disk if h is holomorphic on the closed unit disk, then there is a finite Blaschke product B such that h can be written as a function of B, and the commutant of the multiplication operator M h by h equals that of MB. This is essentially generalized to the Bergman space over an annulus under a mild condition. It is also seen that the situation is complicated compared with the classical Bergman space over the unit disk. We also consider the associated reducing subspaces of the concerned multiplication operators.

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Thomson-type 定理 for the multiplication operators on the Bergman space of the annulus

Kunyu,

Hansong

2023

Sci. Sin.-Math.

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Reducing subspaces for the product of a forward and a backward operator-weighted shifts

Cited by 1 publication

References 25 publications

Thomson-type 定理 for the multiplication operators on the Bergman space of the annulus

Thomson-type 定理 for the multiplication operators on the Bergman space of the annulus

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