Coarse geometry of operator spaces and complete isomorphic embeddings into $$\ell _1$$ and $$c_0$$-sums of operator spaces
Coarse geometry of operator spaces and complete isomorphic embeddings into $$\ell _1$$ and $$c_0$$-sums of operator spaces
复制标题
算子空间的粗略几何和完整的同构嵌入到 $$ell _1$$ 和 $$c_0$$-算子空间的总和中
DOI：
10.1007/s00209-023-03314-6
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发表时间：
2023
影响因子：
0.8
通讯作者：
Oikhberg, Timur
中科院分区：
文献类型：
--
作者：
Braga, Bruno M.;Oikhberg, Timur
最近开始研究算子空间的非线性几何。到目前为止，已经引入了许多非线性可嵌入性的概念，但是，正如其他作者之前所注意到的那样，尚不清楚它们是否可以被认为是“正确的概念”。这些笔记的主要目的是提供缺失的证据来支持几乎完全的粗嵌入性是“一个正确的概念”。这是通过证明结果的完整同构理论的某些运营商空间的总和。还得到了算子空间-和的完全同构理论的若干结果。
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 thatalmost complete coarse embeddabilityis “a correct notion”. This is done by proving results about the complete isomorphic theory of-sums of certain operators spaces. Several results on the complete isomorphic theory of-sums of operator spaces are also obtained.