| Algebra matrix and similarity classification of operators |
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| 作者姓名： | ZHANG Zilong & LI Yucheng |
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| 作者单位： | ZHANG Zilong & LI Yucheng Department of Mathematics，Hebei Normal University，Shijiazhuang 050016，China |
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| 基金项目： | 中国科学院资助项目;河北省自然科学基金 |
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| 摘 要： | In this paper, by the Gelfand representation theory and the Silov idempotents theorem, we first obtain a central decomposition theorem related to a unital semi-simple n-homogeneous Banach algebra, and then give a similarity classification of two strongly irreducible Cowen-Douglas operators using this theorem.
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| 收稿时间： | 23 June 2005 |
| 修稿时间： | 30 August 2005 |
Algebra matrix and similarity classification of operators |
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| ZHANG Zilong & LI Yucheng.Algebra matrix and similarity classification of operators[J].Science in China(Mathematics),2006,49(3):398-409. |
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| Authors: | ZHANG Zilong LI Yucheng |
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| Affiliation: | Department of Mathematics, Hebei Normal University, Shijiazhuang 050016, China |
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| Abstract: | In this paper, by the Gelfand representation theory and the Silov idempotents theorem, we first obtain a central decomposition theorem related to a unital semi-simple n-homogeneous Banach algebra, and then give a similarity classification of two strongly irreducible Cowen-Douglas operators using this theorem. |
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| Keywords: | algebra matrix abelian idempotents Cowen-Douglas operator Silov idem-potents theorem |
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