Weighted composition operators on the Hilbert space of Dirichlet series |
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| Authors: | Maofa WANG Xingxing YAO Fangwen DENG |
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| Affiliation: | School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China;School of Science, Wuhan Institute of Technology, Wuhan 430205, China;Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China |
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| Abstract: | In this paper, we study weighted composition operators on the Hilbert space of Dirichlet series with square summable coefficients. The Hermitianness, Fredholmness and invertibility of such operators are characterized, and the spectra of compact and invertible weighted composition operators are also described. |
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| Keywords: | weighted composition operator Hermitianness Fredholmness invertibility spectrum 47B33 30B50 46E15 |
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