| 关于算子格的主带的闭性质 |
| |
| 引用本文： | 陈滋利.关于算子格的主带的闭性质[J].四川师范大学学报(自然科学版),2007,30(1):14-17. |
| |
| 作者姓名： | 陈滋利 |
| |
| 作者单位： | 西南交通大学,数学系,四川,成都,610031 |
| |
| 摘 要： | 证明了由格同态生成的主带在算子范数下是闭的,并对一般算子生成的主带之闭性进行讨论,得到一些等价条件和充分条件.
|
| 关 键 词： | Banach格 格同态 带 闭性 |
| 文章编号： | 1001-8395（2007）01-0014-04 |
| 收稿时间： | 2005-09-01 |
| 修稿时间： | 2005年9月1日 |
On Closeness of Principal Bands in Lattices of Operators |
| |
| CHEN Zi-li.On Closeness of Principal Bands in Lattices of Operators[J].Journal of Sichuan Normal University(Natural Science),2007,30(1):14-17. |
| |
| Authors: | CHEN Zi-li |
| |
| Institution: | Department of Mathematics, Southwest Jiaotong University, Chengdu 610031, Sichuan |
| |
| Abstract: | In this paper we first show that the principal band {T}dd is operator norm closed if T is a lattice homomorphism, then we consider the closeness of {T}dd and {T}d for general operator T and present some equivalent and sufficient conditions. |
| |
| Keywords: | Banach lattice Band Lattice homomorphism Closed |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
