Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

HOME ALL ARTICLES View

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.

Isometric weighted composition operators on the Fock space of $\mathbb{C}^N$

Liankuo Zhao

Shanxi Normal University

Abstract

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