| 本性不可比的Banach空间 |
| |
| 引用本文： | 陈东阳,钟怀杰.本性不可比的Banach空间[J].应用泛函分析学报,2001,3(3):261-266. |
| |
| 作者姓名： | 陈东阳 钟怀杰 |
| |
| 作者单位： | 福建师范大学数学系福建福州 350007 |
| |
| 基金项目： | 国家自然科学基金(19771017). |
| |
| 摘 要： | 通过引入本性严格奇异算子和投影严格奇异算子，讨论本性不可比的Banach空间，对M.Gonzalez提出的猜想作出部分的肯定回答，最后，利用空间的本性不可比构造了一类空间，其上的非本性算子类和严格余奇异算子类是不重合的。
|
| 关 键 词： | 本性严格奇异算子 投影严格奇异算子 本性不可比空间 遗传不可分解空间 Banach空间 |
| 文章编号： | 1009-1327(2001)03-0261-06 |
| 修稿时间： | 2000年12月14 |
On Essentially Incomparable Banach Spaces |
| |
| CHEN Dong-yang,ZHONG Huai-jie.On Essentially Incomparable Banach Spaces[J].Acta Analysis Functionalis Applicata,2001,3(3):261-266. |
| |
| Authors: | CHEN Dong-yang ZHONG Huai-jie |
| |
| Institution: | CHEN Dong-yang,ZHONG Huai-jie Department of Mathematics,Fujian Teachers University,Fuzhou 350007,China |
| |
| Abstract: | In this paper, we introduce essentially strictly singular operators and projectionally strictly singular operators, discuss essentionally incomparable Banach spaces and give a partial answer to the conjecture of M.Gonzalez. Finally, we construct a class of Banach spaces on which the class of inessential operators does not coincide with the class of strictly cosingular operators by using essential incomparability of Banach spaces. |
| |
| Keywords: | essentially strictly singular operators projectionally strictly singular operators essentially incomparable Banach spaces |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
