Unitary equivalence, similarity and calculation of K-0-group
文献类型：期刊论文
| 作者 | He, H; Jiang, CL |
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 2005-12-01 |
| 卷号 | 21期号:6页码:1259-1268 |
| 关键词 | strongly irreducible operators Cowen-Douglas operator holomorphic complex bundle Grassmann manifold K-0-group |
| ISSN号 | 1439-8516 |
| DOI | 10.1007/s10114-004-0461-9 |
| 英文摘要 | In this paper, we are concerned with the classification of operators on complex separable Hilbert spaces, in the unitary equivalence sense and the similarity sense, respectively. We show that two strongly irreducible operators A and B are unitary equivalent if and only if W*(A circle plus B)'approximate to M-2(C), and two operators A and B in B-1(Omega) are similar if and only A'(A circle plus B)/J approximate to M-2(C). Moreover, we obtain V(H-infinity(Omega,mu))approximate to N and K-0(H-infinity(Omega,mu))approximate to Z by the technique of complex geometry, where Omega is a bounded connected open set in C, and mu is a completely non-reducing measure on Omega. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000236388600002 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2069]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | He, H |
| 作者单位 | 1.Hebei Univ Technol, Dept Appl Math, Tianjin 300130, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | He, H,Jiang, CL. Unitary equivalence, similarity and calculation of K-0-group[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2005,21(6):1259-1268. |
| APA | He, H,&Jiang, CL.(2005).Unitary equivalence, similarity and calculation of K-0-group.ACTA MATHEMATICA SINICA-ENGLISH SERIES,21(6),1259-1268. |
| MLA | He, H,et al."Unitary equivalence, similarity and calculation of K-0-group".ACTA MATHEMATICA SINICA-ENGLISH SERIES 21.6(2005):1259-1268. |
入库方式： OAI收割
来源：数学与系统科学研究院
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