On Similarity and Reducing Subspaces of the n-Shift plus Certain Weighted Volterra Operator

Let g(z) be an n-degree polynomial (n≥2). Inspired by Sarason’s result, we introduce the operator T1 defined by the multiplication operator Mg plus the weighted Volterra operator Vg on the Bergman space. We show that the operator T1 is similar to Mg on some Hilbert space Sg2(D). Then for g(z)=zn, by...

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Bibliographic Details
Main Authors: Yucheng Li, Hao Chen, Wenhua Lan
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2017/8370139
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