论文标题
Banach晶格$ C_0（\ ell_2^n）$的注释，其双重及其双重
A note on the Banach lattice $c_0( \ell_2^n)$, its dual and its bidual
论文作者
论文摘要
本文的主要目的是在$ C_0上研究一些几何和拓扑特性，$ c_0 $总和Banach lattice $ \ ell_2^n $，其双重及其双词。除其他结果外，我们还表明，Banach Lattices $ C_0（\ ell_2^n）$具有强大的Gelfand-Philips属性，但没有正面的Grothendieck属性。我们还证明，$ l _ {\ infty}（\ ell_2^n）$的闭合单位球几乎是一个有限的集合。
The main purpose of this paper is to study some geometric and topological properties on $ c_0$ sum of the finite dimensional Banach lattice $\ell_2^n$, its dual and its bidual. Among other results, we show that the Banach lattices $c_0(\ell_2^n)$ has the strong Gelfand-Philips property, but does not have the positive Grothendieck property. We also prove that the closed unit ball of $l_{\infty}(\ell_2^n)$ is an almost limited set.
