Weighted composition operators on the Hilbert space of Dirichlet series

Acta Mathematica Scientia(2018)

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摘要
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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关键词
weighted composition operator,Hermitianness,Fredholmness,invertibility,spectrum
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