Schatten类算子的Von-Neumann型迹不等式

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of Operator Theory Pub Date : 2019-06-03 DOI:10.7900/jot.2019jun03.2241

G. Dirr, F. V. Ende

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引用次数: 1

摘要

我们将冯·诺依曼著名的迹不等式以及厄米矩阵的相关特征值不等式推广到无限维复希尔伯特空间之间的schattenclass算子。为此，我们利用了schattenclass操作符的$C$数值范围的一些最新结果。为了方便读者，我们在附录中简略地给出了这些结果的证明。

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Von Neumann type trace inequalities for Schatten-class operators

We generalize von Neumann's well-known trace inequality, as well as related eigenvalue inequalities for hermitian matrices, to Schatten-class operators between complex Hilbert spaces of infinite dimension. To this end, we exploit some recent results on the $C$-numerical range of Schatten-class operators. For the readers' convenience, we sketched the proof of these results in the Appendix.

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来源期刊

Journal of Operator Theory 数学-数学

CiteScore

1.30

自引率

12.50%

发文量

审稿时长

12 months

期刊介绍： The Journal of Operator Theory is rigorously peer reviewed and endevours to publish significant articles in all areas of operator theory, operator algebras and closely related domains.