Linear maps preserving ideals of C*-algebras
文献类型：期刊论文
| 作者 | Cui, JL; Hou, JC |
| 刊名 | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
 |
| 出版日期 | 2003 |
| 卷号 | 131期号:11页码:3441-3446 |
| 关键词 | Jordan homomorphism maximal left ideals Banach algebras C*-algebras |
| ISSN号 | 0002-9939 |
| 英文摘要 | We show that every unital linear bijection which preserves the maximal left ideals from a semi-simple Banach algebra onto a C*-algebra of real rank zero is a Jordan isomorphism. Furthermore, every unital self-adjoint linear bijection on a countably decomposable factor von Neumann algebra is maximal left ideal preserving if and only if it is a *-automorphism. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000184414700017 |
| 出版者 | AMER MATHEMATICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18190]  |
| 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.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 2.Shanxi Teachers Univ, Dept Math, Linfen 041004, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100864, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cui, JL,Hou, JC. Linear maps preserving ideals of C*-algebras[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,2003,131(11):3441-3446. |
| APA | Cui, JL,&Hou, JC.(2003).Linear maps preserving ideals of C*-algebras.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,131(11),3441-3446. |
| MLA | Cui, JL,et al."Linear maps preserving ideals of C*-algebras".PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 131.11(2003):3441-3446. |
入库方式： OAI收割
来源：数学与系统科学研究院
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