论文标题
关于局部均匀旋转率的概括
On a generalisation of Local Uniform Rotundity
论文作者
论文摘要
在本文中，我们调查了Banach空间（LUR）特性的概括（HLUR）。拥有该物业（HLUR）的Banach空间称为HLUR空间。我们在已知的几何特性的帮助下表征（HLUR）特性，并研究HLUR空间的各种特性。我们表明，对于任何有限的尺寸Banach空间，该物业（HLUR）与该空间的反daugavet属性一致。我们还显示了HLUR空间的一些应用，与集合的最远点有关。
In this paper we investigate the property (HLUR), a generalisation of (LUR) property of a Banach space. A Banach space having the property (HLUR) is called an HLUR space. We characterise (HLUR) property with the help of known geometric properties and study various properties of HLUR spaces. We show that for any finite dimensional Banach space, the property (HLUR) coincides with anti-Daugavet property of the space. We also show some applications of HLUR spaces in connection with farthest points of sets.
