A note on curvature and similarity of some Cowen-Douglas operators

作者:Dai, Hong; Hou, Yingli; Ji, Kui*
来源:Journal of Mathematical Analysis and Applications, 2016, 444(1): 167-181.
DOI:10.1016/j.jmaa.2016.06.029

摘要

The purpose of this note is to describe the similarity of Cowen-Douglas operators with index one by considering the difference of the curvatures of the corresponding vector bundles. We define a subclass of operators of B-1(D) that includes the weighted shift operators with weighted sequence {[k+1)/(k+alpha)](1/2)}(k=0)(infinity), alpha >= 1 and consider when an operator in B-1(D) is similar to some operator in this operator class.

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