Quasisimilarity of Cowen-Douglas operators

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This paper shows that every operator which is quasisimilar to strongly irreducible Cowen-Douglas operators is still strongly irreducible. This result answers a question posted by Davidson and Herrero (ref. [1]).
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[1]Bishop, C. M., Svensen, M., Williams, C. K. I., GTM: the generative topographic mapping, Neural Computation,1998, 10: 215-234.[2]Freedman, D., Efficient simplici