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Spectrum of Normal Weighted Composition Operators on the Fock Space Over ℂN

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Abstract

By using commutative C*-algebra techniques, spectrum and essential spectrum of normal weighted composition operators on the Fock space over ℂN are completely characterized. As an application, spectrum of self-adjoint weighted composition operators on the Fock space are obtained also.

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Acknowledgements

The authors would like to thank the referees for their time and for suggesting the study of essential spectrum of normal weighted composition operators on the Fock space to make the results stronger.

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Authors and Affiliations

  1. School of Mathematics and Computer Science, Shanxi Normal University, Linfen, 041004, P. R. China

    Li Xia Feng & Lian Kuo Zhao

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  1. Li Xia Feng
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  2. Lian Kuo Zhao
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Correspondence to Lian Kuo Zhao.

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Supported by NSFC (Grant Nos. 11771401 and 11471189)

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Feng, L.X., Zhao, L.K. Spectrum of Normal Weighted Composition Operators on the Fock Space Over ℂN. Acta. Math. Sin.-English Ser. 35, 1563–1572 (2019). https://doi.org/10.1007/s10114-019-8549-4

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  • DOI: https://doi.org/10.1007/s10114-019-8549-4

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