The spectrally bounded linear maps on operator algebras
文献类型：期刊论文
| 作者 | Cui, J; Hou, J |
| 刊名 | STUDIA MATHEMATICA
 |
| 出版日期 | 2002 |
| 卷号 | 150期号:3页码:261-271 |
| 关键词 | spectral radius Jordan homomorphism isomorphism Banach algebras |
| ISSN号 | 0039-3223 |
| 英文摘要 | We show that every spectrally bounded linear map Phi from a Banach algebra onto a standard operator algebra acting on a complex Banach space is square-zero preserving. This result is used to show that if Phi(2) is spectrally bounded, then Phi is a homomorphism multiplied by a nonzero complex number. As another application to the Hilbert space case, a classification theorem is obtained which states that every spectrally bounded linear bijection Phi from B(I-I) onto B(K), where H and K are infinite-dimensional complex Hilbert spaces, is either an isomorphism or an anti-isomorphism multiplied by a nonzero complex number. If P is not injective, then Phi vanishes at all compact operators. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000179180800004 |
| 出版者 | POLISH ACAD SCIENCES INST MATHEMATICS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17318]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Cui, J |
| 作者单位 | 1.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China 2.Shandong Teachers Univ, Dept Math, Linfen 041004, Peoples R China 3.Shanxi Univ, Dept Math, Tiyuan 030000, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cui, J,Hou, J. The spectrally bounded linear maps on operator algebras[J]. STUDIA MATHEMATICA,2002,150(3):261-271. |
| APA | Cui, J,&Hou, J.(2002).The spectrally bounded linear maps on operator algebras.STUDIA MATHEMATICA,150(3),261-271. |
| MLA | Cui, J,et al."The spectrally bounded linear maps on operator algebras".STUDIA MATHEMATICA 150.3(2002):261-271. |
入库方式： OAI收割
来源：数学与系统科学研究院
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