论文标题
通过$ k-$操作员的平滑度来表征极端宫缩的表征
Characterization of extreme contractions through $k-$smoothness of operators
论文作者
论文摘要
我们通过使用$ k $ - 运算符的平滑度来表征\有限的多面体巴拉克空间之间定义的极端收缩。我们还探索了L-P弱财产，这是最近引入的极端收缩研究的概念。我们获得了一对有限维的多面体巴拉赫空间的足够条件，以满足弱l-p性质。作为这些结果的应用，我们明确计算了一些特殊的Banach空间中的极端收缩数。我们在研究极端收缩的本文中，我们的方法导致了先前已知的结果的改善和概括。
We characrterize extreme contractions defined between \ finite-dimensional polyhedral Banach spaces using $k$- smoothness of operators. We also explore weak L-P property, a recently introduced concept in the study of extreme contractions. We obtain a sufficient condition for a pair of finite-dimensional polyhedral Banach spaces to satisfy weak L-P property. As an application of these results, we explicitly compute the number of extreme contractions in some special Banach spaces. Our approach in this paper in studying extreme contractions lead to the improvement and generalization of previously known results.
