关于强序连续线性算子的标注

Remarks on Strong Order Continuous Operators

下载PDF

导出

摘要首先给出强序连续线性算子的基本性质,然后肯定了强序连续线性算子在序有界范数,正则范数以及算子范数下的极限仍是强序连续的结论. The basic properties of strongly order continuous operators is get,then the conclusion that the operator norm limits of the strongly order continuous order bounded operators are still strongly order continuous with respect to the order bound norm,regular norm and operator norm respectively,is confirmed.

作者汪正玉陈滋利孟院花

机构地区西南交通大学数学学院宜宾学院数学学院

出处《宜宾学院学报》 2012年第6期21-22,共2页 Journal of Yibin University

关键词强序连续算子赋范极限强序收敛弱序收敛 strong order continuous operator norm limits strong order convergence weak order convergence

分类号 O177 [理学—基础数学]

引文网络
相关文献

参考文献7

1Abramovich Y A, Chen Z L, Wickstead A W. Regular - norm balls can be closed in the strong topology [ J]. Positivity, 1997 (1) : 75 -95.
2Meyer - Nieberg P. Banaeh Lattices [M ] Berlin -'Heidelberg - NY : Springer - Verlag, 1991.
3Kitover A K, Wickstead A W. Operator norm limits of order continuous operators[J]. Positivity, 2005(9) : 341 -355.
4Zaanen A C. Introduction to operator theory in riesz spaces[ M]. Berlin -Heidelberg- NY: Springer- Verlag, 1996.
5Abramovich Y A, Arenson E L, Kitover A K. Banach C(K) -modules and operator preserving disjointness: Pitman research notes in mathemat- ics series 277 [ M]. Harlow: Longman Scientific & Technical, UK, 1992.
6Kelley J L. General Topology[ M]. New York: Van Nostrand, 1955.
7Abramovich Y A, Aliprantis C D. An Invitation to Operator Theory[ M]. Providence: American Mathematical Society, 2002.

1陈滋利.Banach格上算子的正则范数[J].工程数学学报,2000,17(2):58-64. 被引量：1
2刘信东,肖赟.双边线性有界变差算子向量格[J].宜宾学院学报,2009,9(12):28-31.

宜宾学院学报

2012年第6期

浏览历史

内容加载中请稍等...

关于强序连续线性算子的标注

参考文献7

相关作者

相关机构

相关主题

浏览历史