, Volume 17, Issue 3, pp 413-424

The Essential Spectrum and Banach Reducibility of Operator Weighted Shifts

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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