论文标题
可分离的通用同质Banach晶格
A Separable Universal Homogeneous Banach Lattice
论文作者
论文摘要
我们证明存在可分离的大约超均匀的Banach晶格$ \ Mathfrak {bl} $，对于可分离的Banach晶格而言，这是等值的。这是通过证明Banach Lattices类具有合并性能的，因此有限生成的Banach Lattices形成了公制的Fraïssé类。关于$ \ mathfrak {bl} $的结构属性的一些其他结果也已得到证明。
We prove the existence of a separable approximately ultra-homogeneous Banach lattice $\mathfrak{BL}$ that is isometrically universal for separable Banach lattices. This is done by showing that the class of Banach lattices has the Amalgamation Property, and thus finitely generated Banach lattices form a metric Fraïssé class. Some additional results about the structural properties of $\mathfrak{ BL}$ are also proven.
