论文标题
Fréchet空间的表征和对Hausdorff MNC的应用
Characterization of Fréchet Spaces and Application to Hausdorff MNC
论文作者
论文摘要
在此简短说明中，我们通过其度量的属性给出了Fréchet空间的特征。这使我们能够证明在fréchet空间上定义的非划分度（MNC）的Hausdorff度量确实是跨国公司。作为第一个应用，我们将众所周知的定理定理用于承包和凝结操作员到Fréchet空间的设置。
In this short note, we give a characterization of Fréchet spaces via properties of their metric. This allows us to prove that the Hausdorff measure of noncompactness (MNC), defined over Fréchet spaces, is indeed an MNC. As first applications, we lift well-known fixed-point theorems for contractive and condensing operators to the setting of Fréchet spaces.
