| Banach代数中理想概念的推广 |
| |
| 引用本文： | 邓生华.Banach代数中理想概念的推广[J].西南师范大学学报(自然科学版),1999,24(6):623-627. |
| |
| 作者姓名： | 邓生华 |
| |
| 作者单位： | 中山学院基础部!中山，528403 |
| |
| 摘 要： | 推广了Banach代数中的理想概念．定义了半理想证明了：设B为有单位元e的Banach代数，L为B的左（右）理想，则L的Riesz扩张Lr是B的半理想.且，其中{L}为B的极大左、右理想全体．Q为B的广义幂零元全体。并将交换Banach代数中的Gelfand-Mazur表示定理作了部分推广
|
| 关 键 词： | Banach代数 极大理想 半理想 Riesz扩张 广义幂零元 |
The extension of an ideal of the Banach algebra |
| |
| Den Shenghua.The extension of an ideal of the Banach algebra[J].Journal of Southwest China Normal University(Natural Science),1999,24(6):623-627. |
| |
| Authors: | Den Shenghua |
| |
| Abstract: | The definition of semi-ideal in the Banach algebra B is given. And the theroy is proved that: Ret B is a Banach algebra, which has unit elemet and if L is a left or righ ideal of B, then the Riesz extension L, of L is a semi-ideal of B, and, Where {L} is the totality of maximal left or right ideal of B. Q is the totality of the generalized nilpoenit elment of B. The Gelfond-Mazur representaion theory of the commutative Banch algebra is extended parthy. |
| |
| Keywords: | Banach algebra maimal ideal semi-ideal Riesz extension generalized nilpotent element |
| 本文献已被 CNKI 维普 等数据库收录！ |
