| L-保序算子空间的相对ω-紧性 |
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| 引用本文： | 韩红霞.L-保序算子空间的相对ω-紧性[J].山东大学学报(理学版),2007,42(7):91-94. |
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| 作者姓名： | 韩红霞 |
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| 作者单位： | 运城学院,应用数学系,山西,运城,044000 |
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| 摘 要： | 在L-保序算子空间中引入相对ω-紧性的概念,得到了它的一些性质,如它是L-好的推广,对子集遗传,被连续的广义Zadeh型函数所保持等. 此外,给出了相对ω-紧性的网式刻画.
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| 关 键 词： | L-保序算子空间 Hα-ω-开覆盖 相对ω-紧性 |
| 文章编号： | 1671-9352（2007）07-0091-04 |
| 修稿时间： | 2006-12-19 |
Relative ω-compactness in L-order-preserving operator spaces |
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| HAN Hong-xia.Relative ω-compactness in L-order-preserving operator spaces[J].Journal of Shandong University,2007,42(7):91-94. |
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| Authors: | HAN Hong-xia |
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| Institution: | Department of Applied Mathematics, Yuncheng College, Yuncheng 044000, Shanxi, China |
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| Abstract: | The notion of relative ω-compactness is introduced in L-order-preserving operator spaces, and some of its properties are obtained, such as that it is an L-good extension and hereditary with respect to subsets, and that it is preserved by continuously generalized Zadeh functions. Moreover, it can also be characterized by nets. |
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| Keywords: | L-order-preserving operator spaces Hα-ω-open cover relative ω-compactness |
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