论文标题
将Lipschitz的标准朝向矢量图
Norm attaining Lipschitz maps toward vectors
论文作者
论文摘要
我们扩展了G. godefroy的最新结果，该结果涉及非符号获得Lipschitz地图的存在，以表征在基础空间的一般环境中对Lipschitz地图的媒介的标准成就。本文的主要定理指出，在大量的度量空间上，将Lipschitz地图朝向的媒介映射的存在的特征是范围空间的有限维度。作为他的反例的扩展，还显示了有关将Lipschitz地图朝向向量的一些密度结果。
We extend the recent result of G. Godefroy which concerns the existence of non-norm attaining Lipschitz maps in order to characterize the norm attainment toward vectors for Lipschitz maps in the general setting of underlying space. The main theorem of the present paper states that the existence of non-norm attaining Lipschitz maps toward vectors on a large class of metric spaces is characterized by the finite-dimensionality of range space. As an extension of his counterexample, some denseness results on norm attaining Lipschitz maps toward vectors are also shown.
