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算子强不可约的充要条件

作者:admin | 日期:2025-08-22
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算子强不可约的充要条件

In this note, we show that a Cowen-Douglas operator is strongly irreducible if and only if its commutant algebra rood its Jocobson radical is isomorphic to a closed subalgebra of H∞(D),where D is the open unit disk, and H∞(D) denotes the collection of bounded holornorphic functions on D.

作 者: 何华 朱光慧 HE Hua ZHU Guang Hui   作者单位: 何华,HE Hua(Department of Mathematics, Hebei University of Technology, Tianjin 300130, China)

朱光慧,ZHU Guang Hui(Department of Mathematics, Hebei University of Technology, Tianjin 300130, China;Shandong Computer Science Center, Shandong 250014, China) 

刊 名: 数学研究与评论  ISTIC PKU 英文刊名: JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION  年,卷(期): 2008 28(3)  分类号: O177.1  关键词: strongly irreducible   Cowen-Douglas operator   commutant algebra   Jacobson radi-cal  

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