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Complex symmetry of linear combinations of composition operators on the Fock space

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Abstract

In this paper, we solve a new problem about complex symmetry. We give a complete characterization of linear combinations of composition operators on the Fock space and the normality and self-adjointness for complex symmetric linear combinations of composition operators are considered simultaneously.

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Acknowledgements

The authors would like to thank the referee for useful comments and suggestions that improved the quality of this paper.

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Correspondence to Zehua Zhou.

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This work was supported in part by the National Natural Science Foundation of China (Grant no. 12171353) and in part by the Natural Science Foundation of Tianjin City of China (Grant no. 19JCQNJC14700).

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Xu, Z., Yang, Z. & Zhou, Z. Complex symmetry of linear combinations of composition operators on the Fock space. Arch. Math. 119, 401–412 (2022). https://doi.org/10.1007/s00013-022-01760-y

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  • DOI: https://doi.org/10.1007/s00013-022-01760-y

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