Linear combinations of composition operators with linear symbols on a Hilbert space of Dirichlet series - CNRS - Centre national de la recherche scientifique
Article Dans Une Revue Journal of Operator Theory Année : 2021

Linear combinations of composition operators with linear symbols on a Hilbert space of Dirichlet series

Résumé

On the Hilbert space of Dirichlet series with square summable coefficients, we show that the linear combinations of two composition operators induced by linear symbols are compact only when each one of them is compact. Moreover, such rigid behavior holds partially for some more general symbols.
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Dates et versions

hal-03349072 , version 1 (20-09-2021)

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Frédéric Bayart, Maofa Wang, Xingxing Yao. Linear combinations of composition operators with linear symbols on a Hilbert space of Dirichlet series. Journal of Operator Theory, 2021, 86 (1), pp.231-251. ⟨10.7900/jot.2020mar23.2288⟩. ⟨hal-03349072⟩
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