Rigidity of the flag structure for a class of Cowen-Douglas operators
Rigidity of the flag structure for a class of Cowen-Douglas operators
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一类 Cowen-Douglas 算子的标志结构的刚性
DOI：
10.1016/j.jfa.2016.12.019
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发表时间：
2017
影响因子：
1.7
通讯作者：
Misra Gadadhar
中科院分区：
文献类型：
--
作者：
Ji Kui;Jiang Chunlan;Keshari Dinesh Kumar;Misra Gadadhar
在Cowen-Douglas类中的不可约齐次算子的明确描述和Hilbert模的局部化自然导致了一个更小的具有旗结构的类的定义。这些运营商是不可约的。同时证明了标志结构是刚性的，即算子的酉等价类与标志结构相互决定。一套完整的酉不变量，这是有点更听话的比一个任意的运营商在Cowen-Douglas类，得到。
The explicit description of irreducible homogeneous operators in the Cowen–Douglas class and the localization of Hilbert modules naturally leads to the definition of a smaller class possessing a flag structure. These operators are shown to be irreducible. It is also shown that the flag structure is rigid, that is, the unitary equivalence class of the operator and the flag structure determine each other. A complete set of unitary invariants, which are somewhat more tractable than those of an arbitrary operator in the Cowen–Douglas class, is obtained.