Li, Jue Xian et al., The Essential Spectrum and Banach Reducibility of Operator Weighted Shifts, Acta mathematica Sinica. English series (Print) , 17(2), 2000, pp. 413-424
For an operator weighted shift S, the essential spectrum e (S) are described. Moreover, Banach reducibility of S is investigated and a condition for S* to be a Cowen-Douglas operator is characterized.