We characterize extreme contractions defined between finite-dimensional polyhedral Banach spaces using k-smoothness of operators. As application of results obtained, 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.

中文翻译：

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通过算子的 k-平滑度表征极端收缩

我们使用k -算子的平滑度来描述有限维多面体 Banach 空间之间定义的极端收缩。作为获得结果的应用，我们明确地计算了一些特殊 Banach 空间中的极端收缩的数量。在本文中，我们研究极端收缩的方法导致先前已知结果的改进和推广。