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Essentially hyponormal multiplication operators on the Dirichlet space |
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| Authors: | Shuaibing Luo |
| Institution: | 1.College of Mathematics and Econometrics,Hunan University,Changsha,People’s Republic of China |
| Abstract: | On the Dirichlet space D, we show that there is a multiplier f of D such that \(M_f\) is not essentially hyponormal, i.e. \(\pi (M_f)\) is not hyponormal in the Calkin algebra \(B(D)/\mathcal {K}(D)\). |
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