| Nest代数的Jacobson根的μ-核值保持映射 |
| |
| 引用本文： | 朱军,熊昌萍.Nest代数的Jacobson根的μ-核值保持映射[J].数学学报,1997,40(3). |
| |
| 作者姓名： | 朱军 熊昌萍 |
| |
| 作者单位： | 湖北民族学院数学系 |
| |
| 基金项目： | 湖北省高校重点科研基金 |
| |
| 摘 要： | 设算子代数Ａ Ｂ（Ｈ），μ（Ａ）表示Ａ中的部分等距算子全体，若ｐ是Ａ到Ｂ（Ｈ）的线性映射，且对任意的ＵＥｕ（Ａ），有叫Ｕ）（ｋｅｃＵ）Ｇｒ“ｈＣｒ，则称 是Ａ上的μ－核值保持映射。本文将证明：Ｎｅｓｔ代数的Ｊａｃｏｂｓｏｎ根上的范数拓扑连续的μ－核值保持映射是广义内导子。
|
| 关 键 词： | Nest代数，Jacobson根，广义内导子，Jordan导子，μ－核值保持映射 |
| 收稿时间： | 1995-7-6 |
| 修稿时间： | 1996-4-7 |
Linear Maps of μ-preserving Kerael into Range on Jacobson Radical of Nest Algebras |
| |
| Zhu Jun Xiong Changping.Linear Maps of μ-preserving Kerael into Range on Jacobson Radical of Nest Algebras[J].Acta Mathematica Sinica,1997,40(3). |
| |
| Authors: | Zhu Jun Xiong Changping |
| |
| Institution: | Zhu Jun Xiong Changping (Department of Mathematics, Hubei Institute for Nationalities, Enshi 445000, China) |
| |
| Abstract: | Let A be an operator algebra in B(H) , and letμ(A) denote the set of all partial isometric operators in A. We say that a linear map . : A→ B(H) is a map of μ-preserving kernel into range if .(U)(kerU) C ran (U) for any . Cμ(A). In this paper, we show that a norm continuous linear map of μ-preserving kernel into range on Jacobson radical of nest algebras is a generalized inner derivatio., i.e , ip(T) =TA+BT for Some A,B G B(H). |
| |
| Keywords: | Nest algebra Jacobson radical Generalized inner derivation Jordan derivation μ-preserving kernel into range map |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学学报》浏览原始摘要信息 |
| 点击此处可从《数学学报》下载免费的PDF全文 |
