K-groups of Banach algebras and strongly irreducible decompositions of operators
文献类型：期刊论文
| 作者 | Cao, Y; Fang, JS; Jiang, CL |
| 刊名 | JOURNAL OF OPERATOR THEORY
 |
| 出版日期 | 2002-09-01 |
| 卷号 | 48期号:2页码:235-253 |
| 关键词 | K-0-group (SI) decomposition commutant of operators |
| ISSN号 | 0379-4024 |
| 英文摘要 | A bounded linear operator T on the Hilbert space H is called strongly irreducible if T does not commute with any nontrivial idempotent operator. One says that T has a finite (SI) decomposition if T can be written as the direct sum of finitely many strongly irreducible operators. In this paper, we use the K-0-group of the commutant of operators to characterize operators with unique finite (SI) decomposition up to similarity. Also we show that the K-0-group of H-infinity(Omega) is isomorphic to the integers, where Omega is simply connected. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000179588500001 |
| 出版者 | THETA FOUNDATION |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17875]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Cao, Y |
| 作者单位 | 1.Acad Sinica, Inst Math, Beijing 100080, Peoples R China 2.Hebei Univ Technol, Dept Math Appl, Tianjin 300130, Peoples R China 3.Jilin Univ, Dept Math, Changchun 130023, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cao, Y,Fang, JS,Jiang, CL. K-groups of Banach algebras and strongly irreducible decompositions of operators[J]. JOURNAL OF OPERATOR THEORY,2002,48(2):235-253. |
| APA | Cao, Y,Fang, JS,&Jiang, CL.(2002).K-groups of Banach algebras and strongly irreducible decompositions of operators.JOURNAL OF OPERATOR THEORY,48(2),235-253. |
| MLA | Cao, Y,et al."K-groups of Banach algebras and strongly irreducible decompositions of operators".JOURNAL OF OPERATOR THEORY 48.2(2002):235-253. |
入库方式： OAI收割
来源：数学与系统科学研究院
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