Complex symmetry of weighted composition operators on the Fock space

With the techniques of weighted composition operators, we introduce a new concept of general weighted composition conjugations on the Fock space F2(C) and completely solve the following problems: the description of weighted composition operators which are conjugations; the criteria for weighted comp...

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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:	2015
Subjects:	Fock space Weighted composition operator Conjugation Complex symmetry
Online Access:	https://hdl.handle.net/10356/81337 http://hdl.handle.net/10220/39230
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Institution:	Nanyang Technological University
Language:	English

id	sg-ntu-dr.10356-81337
record_format	dspace
spelling	sg-ntu-dr.10356-813372023-02-28T19:30:47Z Complex symmetry of weighted composition operators on the Fock space Hai, Pham Viet Khoi, Le Hai School of Physical and Mathematical Sciences Fock space Weighted composition operator Conjugation Complex symmetry With the techniques of weighted composition operators, we introduce a new concept of general weighted composition conjugations on the Fock space F2(C) and completely solve the following problems: the description of weighted composition operators which are conjugations; the criteria for weighted composition operators to be complex symmetric; the spectrum and the point spectrum of complex symmetric operators; and the criteria for Schatten class membership as well as for normality of such operators. Accepted version 2015-12-29T04:24:57Z 2019-12-06T14:28:43Z 2015-12-29T04:24:57Z 2019-12-06T14:28:43Z 2015 Journal Article Hai, P. V., & Khoi, L. H. (2016). Complex symmetry of weighted composition operators on the Fock space. Journal of Mathematical Analysis and Applications, 433(2), 1757-1771. 0022-247X https://hdl.handle.net/10356/81337 http://hdl.handle.net/10220/39230 10.1016/j.jmaa.2015.08.069 en Journal of Mathematical Analysis and Applications © 2015 Elsevier Inc. This is the author created version of a work that has been peer reviewed and accepted for publication by Journal of Mathematical Analysis and Applications, Elsevier Inc. It incorporates referee’s comments but changes resulting from the publishing process, such as copy editing, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1016/j.jmaa.2015.08.069]. 17 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	Fock space Weighted composition operator Conjugation Complex symmetry
spellingShingle	Fock space Weighted composition operator Conjugation Complex symmetry Hai, Pham Viet Khoi, Le Hai Complex symmetry of weighted composition operators on the Fock space
description	With the techniques of weighted composition operators, we introduce a new concept of general weighted composition conjugations on the Fock space F2(C) and completely solve the following problems: the description of weighted composition operators which are conjugations; the criteria for weighted composition operators to be complex symmetric; the spectrum and the point spectrum of complex symmetric operators; and the criteria for Schatten class membership as well as for normality of such operators.
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 symmetry of weighted composition operators on the Fock space
title_short	Complex symmetry of weighted composition operators on the Fock space
title_full	Complex symmetry of weighted composition operators on the Fock space
title_fullStr	Complex symmetry of weighted composition operators on the Fock space
title_full_unstemmed	Complex symmetry of weighted composition operators on the Fock space
title_sort	complex symmetry of weighted composition operators on the fock space
publishDate	2015
url	https://hdl.handle.net/10356/81337 http://hdl.handle.net/10220/39230
_version_	1759854648106156032

Complex symmetry of weighted composition operators on the Fock space

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