Complex symmetric weighted composition operators on the Fock space in several variables

We characterize all selfadjoint as well as all unitary anti-linear weighted composition operators acting on the Fock space . Then we obtain a complete description of anti-linear weighted composition operators that are conjugations. These results allow us to determine which bounded linear weighted co...

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Main Authors: Hai, Pham Viet, Khoi, Le Hai
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2019
Subjects:
Online Access:https://hdl.handle.net/10356/79480
http://hdl.handle.net/10220/50354
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-794802023-02-28T19:28:34Z Complex symmetric weighted composition operators on the Fock space in several variables Hai, Pham Viet Khoi, Le Hai School of Physical and Mathematical Sciences Several Complex Variables Science::Mathematics Fock Space We characterize all selfadjoint as well as all unitary anti-linear weighted composition operators acting on the Fock space . Then we obtain a complete description of anti-linear weighted composition operators that are conjugations. These results allow us to determine which bounded linear weighted composition operators can be complex symmetric on the Fock space . Accepted version 2019-11-07T01:37:17Z 2019-12-06T13:26:22Z 2019-11-07T01:37:17Z 2019-12-06T13:26:22Z 2017 Journal Article Hai, P. V., & Khoi, L. H. (2018). Complex symmetric weighted composition operators on the Fock space in several variables. Complex Variables and Elliptic Equations, 63(3), 391-405. doi:10.1080/17476933.2017.1315108 1747-6933 https://hdl.handle.net/10356/79480 http://hdl.handle.net/10220/50354 10.1080/17476933.2017.1315108 en Complex Variables and Elliptic Equations This is an Accepted Manuscript of an article published by Taylor & Francis in Complex Variables and Elliptic Equations on 28 Jun 2017, available online: http://www.tandfonline.com/10.1080/17476933.2017.1315108. 15 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Several Complex Variables
Science::Mathematics
Fock Space
spellingShingle Several Complex Variables
Science::Mathematics
Fock Space
Hai, Pham Viet
Khoi, Le Hai
Complex symmetric weighted composition operators on the Fock space in several variables
description We characterize all selfadjoint as well as all unitary anti-linear weighted composition operators acting on the Fock space . Then we obtain a complete description of anti-linear weighted composition operators that are conjugations. These results allow us to determine which bounded linear weighted composition operators can be complex symmetric on the Fock space .
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Hai, Pham Viet
Khoi, Le Hai
format Article
author Hai, Pham Viet
Khoi, Le Hai
author_sort Hai, Pham Viet
title Complex symmetric weighted composition operators on the Fock space in several variables
title_short Complex symmetric weighted composition operators on the Fock space in several variables
title_full Complex symmetric weighted composition operators on the Fock space in several variables
title_fullStr Complex symmetric weighted composition operators on the Fock space in several variables
title_full_unstemmed Complex symmetric weighted composition operators on the Fock space in several variables
title_sort complex symmetric weighted composition operators on the fock space in several variables
publishDate 2019
url https://hdl.handle.net/10356/79480
http://hdl.handle.net/10220/50354
_version_ 1759854286462779392