The Kadison-Singer problem
The Kadison-Singer problem
复制标题
卡迪森-辛格问题
DOI：
10.1090/conm/706/14218
复制
发表时间：
2018
期刊：
影响因子：
--
通讯作者：
Bownik, M.
中科院分区：
文献类型：
--
作者：
Bownik, M.
在这篇文章中，我们综述了马库斯、斯皮尔曼和斯里瓦斯塔瓦[29]对Kadison-Singer问题[26]的解所启发的关于连续框架的最新进展。在Akemann和Weaver[2]的基础上，我们给出了离散框架的Lyapunov定理的一个推广，对于连续框架，我们也给出了类似的推广[10]。我们还概述了离散化问题的一个解决方案，该问题最初由Ali，Antoine和Gazeau提出，最近由Freeman和Speegle解决[22]。
In this paper we survey a recent progress on continuous frames inspired by the solution of the Kadison-Singer problem [26] by Marcus, Spielman, and Srivastava [29]. We present an extension of Lyapunov’s theorem for discrete frames due to Akemann and Weaver [2] and a similar extension for continuous frames by the author [10]. We also outline a solution of the discretization problem, which was originally posed by Ali, Antoine, and Gazeau [4], and recently solved by Freeman and Speegle [22].