Linear preservers on upper triangular operator matrix algebras
文献类型：期刊论文
| 作者 | Cui, JL; Hou, JC; Li, BR |
| 刊名 | LINEAR ALGEBRA AND ITS APPLICATIONS
 |
| 出版日期 | 2001-10-15 |
| 卷号 | 336页码:29-50 |
| 关键词 | upper triangular matrix algebras rank preserving maps automorphisms Jordan isomorphisms |
| ISSN号 | 0024-3795 |
| 英文摘要 | In this paper, we obtain several characterizations of rank preserving linear maps and completely rank nonincreasing linear maps on upper triangular Hilbert space operator matrix algebras and apply them to get some algebraic results. We show that every automorphism of an upper triangular operator matrix algebra is inner and every weakly continuous surjective local automorphism is in fact an automorphism. A weakly continuous linear bijection on an upper triangular operator matrix algebra is idempotent preserving if and only if it is a Jordan homomorphism, and in turn, if and only if it is an automorphism or an anti-automorphism. As an application, we also obtain a result concerning the asymptotic joint-similarity of matrix tuples. (C) 2001 Elsevier Science Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000171354000004 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16345]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Cui, JL |
| 作者单位 | 1.Chinese Acad Sci, Inst Math, Beijing 10080, Peoples R China 2.Shanxi Teachers Univ, Dept Math, Linfen 041004, Peoples R China 3.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cui, JL,Hou, JC,Li, BR. Linear preservers on upper triangular operator matrix algebras[J]. LINEAR ALGEBRA AND ITS APPLICATIONS,2001,336:29-50. |
| APA | Cui, JL,Hou, JC,&Li, BR.(2001).Linear preservers on upper triangular operator matrix algebras.LINEAR ALGEBRA AND ITS APPLICATIONS,336,29-50. |
| MLA | Cui, JL,et al."Linear preservers on upper triangular operator matrix algebras".LINEAR ALGEBRA AND ITS APPLICATIONS 336(2001):29-50. |
入库方式： OAI收割
来源：数学与系统科学研究院
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