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Corona Problem and Similarity of Cowen-Douglas Operators

发布日期:2025-06-20点击数:

报告人:徐景 讲师(河北地质大学)

时间:2025年06月25日 15:30-

地点:理科楼LA103


摘要:In this talk, we are concerned with the similarity problem for the Cowen-Douglas class. The unitary equivalence counterpart was already investigated in the 1970's and geometric concepts including vector bundles and curvature appeared in the description. As the Cowen-Douglas conjecture shows, the study of the similarity problem has not been so successful until quite recently. The latest results reveal the close correlation between complex geometry, the corona problem, and the similarity problem for single Cowen-Douglas operators. We give a sufficient condition for a Cowen-Douglas operator to be similar to the backward shift operator on the Dirichlet space.


邀请人:数学研究中心


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