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Transactions of the American Mathematical Society

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Essentially Normal Operator + Compact
Operator = Strongly Irreducible Operator

Authors: Chunlan Jiang, Shunhua Sun and Zongyao Wang
Journal: Trans. Amer. Math. Soc. 349 (1997), 217-233
MSC (1991): Primary \, 47A10, 47A55, 47A58
MathSciNet review: 1376549
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Abstract: It is shown that given an essentially normal operator $T$ with connected spectrum, there exists a compact operator $K$ such that $T+K$ is strongly irreducible.

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Additional Information

Chunlan Jiang
Affiliation: Department of Mathematics, Jilin University, Changchun 130023, P.R. of China

Shunhua Sun
Affiliation: Department of Mathematics, Sichuan University, Chengdu 610064, P.R. of China

Zongyao Wang
Affiliation: Department of Mathematics, East China University of Science and Technology, Shanghai, 200237, P.R. of China

Keywords: \ Essentially normal operator, strongly irreducible operator, Sobolev space, Cowen-Douglas operator, subnormal operator, Rosenblum operator
Received by editor(s): May 25, 1995
Additional Notes: The research supported by National Natural Science Foundation of China.
Article copyright: © Copyright 1997 American Mathematical Society