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Unitary equivalence of multiplication operators on the Bergman spaces of polygons

Part of: Series expansions Individual linear operators as elements of algebraic systems

Published online by Cambridge University Press:  05 March 2021

Hansong Huang  and
Dechao Zheng
Hansong Huang*
Affiliation:
School of Mathematics, East China University of Science and Technology, Shanghai200237, China
Dechao Zheng
Affiliation:
Center of Mathematics, Chongqing University, Chongqing 401331, China and Department of Mathematics, Vanderbilt University, Nashville, TN37240, USA e-mail: dechao.zheng@vanderbilt.edu
*
e-mail: hshuang@ecust.edu.cn
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Abstract

In this paper, we will show that the unitary equivalence of two multiplication operators on the Bergman spaces on polygons depends on the geometry of the polygon.

Keywords

Polygonsmultiplication operatorsunitary equivalence

MSC classification

Primary: 47C15: Operators in $C^*$- or von Neumann algebras
Secondary: 30B40: Analytic continuation
Type
Article
Information
Canadian Mathematical Bulletin , Volume 65 , Issue 1 , March 2022 , pp. 123 - 133
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Copyright
© Canadian Mathematical Society 2021

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Footnotes

This work was partially supported by NSFC (11271387 and 12071134).

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