The Essential Spectrum and Banach Reducibility of Operator Weighted Shifts |
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| Authors: | Jue Xian Li You Quing Ji Shan Li Sun |
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| Institution: | (1) Department of Mathematics, Jilin University, Changchun 130023, P. R. China;(2) Department of Mathematics, Liaoning University, Shenyang 110036, P. R. China;(3) Department of Mathematics, Jilin University, Changchun 130023, P. R. China |
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| Abstract: | For an operator weighted shift S, the essential spectrum σ
e (S) are described. Moreover, Banach reducibility of S is investigated and a condition for S* to be a Cowen-Douglas operator is characterized.
Supported by MCME, Doctoral Foundation of the Ministry of Education and Science Foundation of Liaoning
University |
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| Keywords: | Operator weighted shift Essential spectrum Banach reducibility Cowen-Douglas operator |
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