Similarity invariants of essentially normal Cowen-Douglas operators and Chern polynomials
Similarity invariants of essentially normal Cowen-Douglas operators and Chern polynomials
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DOI：
10.1007/s11856-022-2297-3
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发表时间：
2019-10
影响因子：
1
通讯作者：
Chunlan Jiang;K. Ji;Jinsong Wu
中科院分区：
文献类型：
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作者：
Chunlan Jiang;K. Ji;Jinsong Wu
本文利用Cowen-Douglas理论中的几何方法，系统地研究了一类本质正规算子，证明了Cowen-Douglas理论中的一个Brown-Douglas-Fillmore定理.更确切地说，陈氏多项式和第二基本形式是这类本质正规算子的相似不变量（在Herrero意义下）。
In this paper, we systematically study a class of essentially normal operators by using the geometry method from the Cowen–Douglas theory and prove a Brown–Douglas–Fillmore theorem in the Cowen–Douglas theory. More precisely, the Chern polynomials and the second fundamental forms are the similarity invariants (in the sense of Herrero) of this class of essentially normal operators.