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FINITE SUM OF COMPOSITION OPERATORS ON FOCK SPACE

Part of: Special classes of linear operators

Published online by Cambridge University Press:  20 December 2021

PHAM VIET HAI Open the ORCID record for PHAM VIET HAI [Opens in a new window]
PHAM VIET HAI*
Affiliation:
Faculty of Mathematics, Mechanics and Informatics, University of Science, Vietnam National University, Hanoi, Vietnam
*
e-mail: phamviethai86@gmail.com
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Abstract

We investigate unbounded, linear operators arising from a finite sum of composition operators on Fock space. Real symmetry and complex symmetry of these operators are characterised.

Keywords

composition operatorcomplex symmetryFock space

MSC classification

Primary: 47B33: Composition operators
Secondary: 47B32: Operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces)
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 106 , Issue 1 , August 2022 , pp. 151 - 162
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Copyright
© The Author(s), 2021. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

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Footnotes

This research was supported by the research project QG.21.02 ‘Some problems in operator theory and complex analysis’ of Vietnam National University, Hanoi, Vietnam.

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