抽象函数列的Hausdorff非紧致度的分析性质  

The Analytical Character of the Measure of Hausdorff-noncompactness on the Sequence of Abstract Function

作　　者：郑列[1] 

机构地区：[1]湖北工学院数理系,湖北武汉430068

出　　处：《湖北工学院学报》2003年第1期10-13,共4页

摘　　要：讨论了Banach空间中抽象函数列{x_n(t)}_(n=1)^(+∞)的Hausdorff非紧致度Ψ(t)=β({x_n(t)}_(n=1)^(+∞))的分析性质,获得了对于任意的Banach空间以及弱紧生成空间中关于Ψ’(t)的两个有实用价值的不等,得到的结果是已有结果的改进和推广。In this paper, the analytical character of the measure of Hausdorff-noncompactness on the sequence of abstract function ψ(t) = B({xn(t)}+∞n=1 ) is discussed. Two valuable inequalities on ψ (t) in any Ba-nach space and weak compact growing space are achieved. The results here are better than the former results.

关 键 词：BANACH空间 Hausdorff非紧致度 弱紧生成空间 可分性 逼近解序列 常微分方程 抽象函数列 

分 类 号：O175.15[理学—数学]