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Research Article | Open Access

Self-adjoint and hyponormal weighted composition operators on the Fock space

School of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong, Sichuan, 643000, China
South Sichuan Center for Applied Mathematics, Sichuan University of Science and Engineering, Zigong, Sichuan, 643000, China
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Abstract

One major aim of this paper is to characterize the self-adjointness of some special weighted composition operators on Fock space, and another major aim is to characterize the hyponormality of some composition operators on such space.

Keywords

Fock spaceweighted composition operatorself-adjointnesshyponormality
CLC number: 47B32, 47A10

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AIMS Mathematics
Volume 9 Issue 9,
September 2024
Pages 24989-24997
DOI: 10.3934/math.20241218

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Cite this article:
Jiang Z-j. Self-adjoint and hyponormal weighted composition operators on the Fock space. AIMS Mathematics, 2024, 9(9): 24989-24997. https://doi.org/10.3934/math.20241218

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Received: 01 July 2024
Revised: 02 August 2024
Accepted: 14 August 2024
Published: 15 September 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)