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算子強(qiáng)不可約的充要條件

時(shí)間:2023-04-26 21:27:26 數(shù)理化學(xué)論文 我要投稿
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算子強(qiáng)不可約的充要條件

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: 何華 朱光慧 HE Hua ZHU Guang Hui   作者單位: 何華,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: 數(shù)學(xué)研究與評(píng)論  ISTIC PKU 英文刊名: JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION  年,卷(期): 2008 28(3)  分類號(hào): O177.1  關(guān)鍵詞: strongly irreducible   Cowen-Douglas operator   commutant algebra   Jacobson radi-cal  

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