关于交换子奇异值不等式的几个结论

Some Results about Singular Value Inequalities for Commutators

本文研究了当A,B为复可分H ilbert空间上的紧正算子时得到了一些交换子不等式,并研究了满足一定条件的非负算子单调增函数f,关于f(A),f(B)交换子奇异值不等式的相关问题,利用谱映射定理及Cayley变换的方法,推广了F.K ittaneh的结果。

Let f be a nonnegative function and satisfy some condition,we get same results about singular value inequalities for commutators,where A,B are compact and positive operators on a complex separable Hilbert space.Then we use Spectral Mapping Theorem and Cayley Transform to popularize F.Kittaneh＇s some results.