论文标题
在Banach空间的绝对总和中
Daugavet- and Delta-points in absolute sums of Banach spaces
论文作者
论文摘要
Banach空间的Daugavet点（分别〜$δ$ - 点）是一个常态的一个元素$ x $，单位球中的每个点（resp。〜元素$ x $本身）都位于封闭的单位球元件的凸壳中，几乎在$ x $的距离为2。当且仅当每个标准一个元素都是Daugavet点（分别〜$δ$ - 点）时，Banach空间具有众所周知的Daugavet属性（分别〜直径局部直径2属性）。本文对T. A. Abrahamsen，R。Haller，V。Lima和K. Pirk的文章进行了补充，该文章开始了Banach Space的绝对Sums sumpoints的研究。
A Daugavet-point (resp.~$Δ$-point) of a Banach space is a norm one element $x$ for which every point in the unit ball (resp.~element $x$ itself) is in the closed convex hull of unit ball elements that are almost at distance 2 from $x$. A Banach space has the well-known Daugavet property (resp.~diametral local diameter 2 property) if and only if every norm one element is a Daugavet-point (resp.~$Δ$-point). This paper complements the article "Delta- and Daugavet-points in Banach spaces" by T. A. Abrahamsen, R. Haller, V. Lima, and K. Pirk, where the study of the existence of Daugavet- and $Δ$-points in absolute sums of Banach spaces was started.
