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.
