论文标题
Hundertmark和Simon的纸上的评论
A remark on a paper by Hundertmark and Simon
论文作者
论文摘要
我们证明了Jacobi矩阵的尖锐的打电话类型不平等,从而解决了Hundertmark和Simon的猜想。证明的一个有趣特征是,它采用了一种最初由Hundertmark-Laptev-Weidl使用的技术,这些技术与紧凑型操作员的奇异值总和。
We prove a sharp Lieb-Thirring type inequality for Jacobi matrices, thereby settling a conjecture of Hundertmark and Simon. An interesting feature of the proof is that it employs a technique originally used by Hundertmark-Laptev-Weidl concerning sums of singular values for compact operators.