| 关于带无条件基Banach空间的一个性质 |
| |
| 引用本文： | 钟怀杰.关于带无条件基Banach空间的一个性质[J].福建师范大学学报(自然科学版),1996,12(1):1-6. |
| |
| 作者姓名： | 钟怀杰 |
| |
| 摘 要： | 称一个带无条件基｛ｘｎ｝的Ｂａｎａｃｈ空间有性质Ｐ，如果｛ｘｎ｝的每一有界块基序列都张成Ｘ的可补子空间。本文说明并非每一带无条件基的Ｂａｎａｃｈ空间都有性质Ｐ。但是，性质Ｐ也非经典序列空间所特有，希里森空间是另一典型例子。还讨论了性质Ｐ关于空间分块取ｌｐ－直和后的“遗传”现象。
|
| 关 键 词： | 无条件基 块基序列 可补子空间 巴拿赫空间 |
On the Property of Banach Spaces with a Unconditional Basis |
| |
| Zhong Huaijie.On the Property of Banach Spaces with a Unconditional Basis[J].Journal of Fujian Teachers University(Natural Science),1996,12(1):1-6. |
| |
| Authors: | Zhong Huaijie |
| |
| Institution: | Depertment of Mathematics |
| |
| Abstract: | A Banach space X with a unconditional basis {xn} is said to have the property P if, every bounded block basis sequence of {xn} spans a complemented subspace of X. In this paper, it is show that except the classical sequence spaces. for a typical example the Tsirelson's space has also the property P. But some Banach spaces with a unconditional basis fail to have the property P. Besides, for the Banach space E=which is a finite-dimensional P -block decomposition of the Banach space X, the property P of E is also discussed. |
| |
| Keywords: | Banach space unconditional basis block basis sequence complemented subspace |
| 本文献已被 CNKI 维普 等数据库收录！ |
