论文标题
操作员空间的粗几何形状和完整的同构嵌入到$ \ ell_1 $和$ c_0 $ -sums的操作员空间
Coarse geometry of operator spaces and complete isomorphic embeddings into $\ell_1$ and $c_0$-sums of operator spaces
论文作者
论文摘要
最近开始研究操作员空间的非线性几何形状。到目前为止，已经引入了许多非线性嵌入性的概念，但是，正如其他作者之前所注意到的，尚不清楚它们是否可以被视为``正确的概念''。这些笔记的主要目标是提供缺失的证据来支持\ emph {几乎完整的粗嵌入性}是``正确的概念''。这是通过证明有关某些操作员空间的$ \ ell_1 $ sums的完整同构理论的结果来完成的。还获得了$ C_0 $ - 运算符空间的完整同构理论的几个结果。
The nonlinear geometry of operator spaces has recently started to be investigated. Many notions of nonlinear embeddability have been introduced so far, but, as noticed before by other authors, it was not clear whether they could be considered ``correct notions''. The main goal of these notes is to provide the missing evidence to support that \emph{almost complete coarse embeddability} is ``a correct notion''. This is done by proving results about the complete isomorphic theory of $\ell_1$-sums of certain operators spaces. Several results on the complete isomorphic theory of $c_0$-sums of operator spaces are also obtained.
