L-保序算子空间的相对ω-紧性

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L-保序算子空间的相对ω-紧性

韩红霞

运城学院应用数学系，山西运城 044000

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
通讯作者: 韩红霞

Relative ω-compactness in L-order-preserving operator spaces

HAN Hong-xia

Department of Applied Mathematics， Yuncheng College， Yuncheng 044000， Shanxi, China

Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
Contact: HAN Hong-xia

摘要/Abstract

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.

关键词: L-保序算子空间, Hα-ω-开覆盖, 相对ω-紧性

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.

Key words: relative ω-compactness , Hα-ω-open cover, L-order-preserving operator spaces

中图分类号:

O189.13

韩红霞 . L-保序算子空间的相对ω-紧性[J]. J4, 2007, 42(7): 91-94 .

HAN Hong-xia . Relative ω-compactness in L-order-preserving operator spaces[J]. J4, 2007, 42(7): 91-94 .

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