算子強不可約的充要條件

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)研究與評論  ISTIC PKU 英文刊名： JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION  年，卷(期)： 2008 28(3)  分類號： O177.1  關(guān)鍵詞： strongly irreducible   Cowen-Douglas operator   commutant algebra   Jacobson radi-cal  

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