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Compact linear combinations of composition operators on Hilbert spaces of Dirichlet series

Maofa Wang,Zhongbing Xie

Banach Journal of Mathematical Analysis（2023）

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Abstract
We study linear combinations of two composition operators induced by linear symbols on the Hilbert space of Dirichlet series. Based on partial reproducing kernels, we obtain an equivalent inscription of the compactness of a single composition operator and describe the compact linear combinations of composition operators.
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Key words
Composition operator,Dirichlet series,Linear combination,Compactness
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