| A Note on Invertible Weighted Composition Operators on the Fock Space of $\mathbb{C}^N$ |
| Received:June 21, 2015 Revised:September 07, 2015 |
| Key Words:
Fock space weighted composition operator invertible unitary
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11201274; 11471189). |
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| Abstract: |
| This paper shows that a bounded invertible weighted composition operator on the Fock space of $\mathbb{C}^N$ is nonzero multiples of a unitary operator, which is an addition to the recent result on invertible weighted composition operator on the Fock space of $\mathbb{C}^N$ and an extension to the corresponding result on the Fock space of $\mathbb{C}$. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2016.03.011 |
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