论文标题
在统一的希尔伯特·施密特（Hilbert Schmidt）的稳定性上
On uniform Hilbert Schmidt stability of groups
论文作者
论文摘要
如果任何地图$φ：γ\ to u（n）$几乎是单一表示（W.R.T. Hilbert Schmidt Norm），则一组$γ$均匀地稳定了HS稳定。我们在有限生成的残留有限的群体中介绍了均匀HS稳定组的完整分类。讨论了剩余有限假设的必要性。表明类似的结果仅假设仅假设有性。
A group $Γ$ is said to be uniformly HS stable if any map $φ: Γ\to U(n)$ that is almost a unitary representation (w.r.t. the Hilbert Schmidt norm) is close to a genuine unitary representation of the same dimension. We present a complete classification of uniformly HS stable groups among finitely generated residually finite ones. Necessity of the residual finiteness assumption is discussed. A similar result is shown to hold assuming only amenability.
