Lω-空间中ω~*-正则性

ω^＊- Regularity in Lω- Spaces

在Lω-空间中引入一种新的正则,即ω*-正则,证明了ω*-正则不仅蕴涵黄朝霞文献中所提出的ω-正则,而且还具有ω-正则的一些好的性质.

A new kind of regularity, i. e. ω^＊ - regularity is introduced in Lω- spaces. It is proved that ω^＊ - regularity not only imphcates ω- regularity as introduced in paper of Huang Zhao-xia, but also possesses some good properties of ω- regularity.