Bull. Korean Math. Soc. 2016; 53(6): 1785-1794
Online first article September 22, 2016 Printed November 30, 2016
https://doi.org/10.4134/BKMS.b150974
Copyright © The Korean Mathematical Society.
Liankuo Zhao
Shanxi Normal University
This paper gives complete characterization for isometric wei\-ghted composition operators on the Fock space of $\mathbb{C}^N$. The main result shows that an isometric weighted composition operator on the Fock space of $\mathbb{C}^N$ is a unitary operator.
Keywords: Fock space, weighted composition operator, isometric, unitary
MSC numbers: 47B32
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