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Essentially Normal Operator + Compact Operator = Strongly Irreducible Operator |
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| Authors: | Chunlan Jiang Shunhua Sun Zongyao Wang |
| Affiliation: | Department of Mathematics, Jilin University, Changchun 130023, P.R. of China Shunhua Sun ; Department of Mathematics, Sichuan University, Chengdu 610064, P.R. of China Zongyao Wang ; Department of Mathematics, East China University of Science and Technology, Shanghai, 200237, P.R. of China |
| Abstract: | It is shown that given an essentially normal operator  with connected spectrum, there exists a compact operator  such that  is strongly irreducible. |
| Keywords: | Essentially normal operator strongly irreducible operator Sobolev space Cowen-Douglas operator subnormal operator Rosenblum operator |
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