Numerical ranges of the product of operators

Hongke Du, Chi Kwong Li, Kuo-Zhong Wang, Yueqing Wang*, Ning Zuo

*Corresponding author for this work

研究成果: Article

1 引文 斯高帕斯(Scopus)

摘要

We study containment regions of the numerical range of the product of operators A and B such that W(A) and W(B) are line segments. It is shown that the containment region is equal to the convex hull of elliptical disks determined by the spectrum of AB, and conditions on A and B for the set equality holding are obtained. The results cover the case when A and B are self-adjoint operators extending the previous results on the numerical range of the product of two orthogonal projections.

原文English
文章編號11-12
頁(從 - 到)171-180
頁數10
期刊Operators and Matrices
11
發行號1
DOIs
出版狀態Published - 1 三月 2017

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    Du, H., Li, C. K., Wang, K-Z., Wang, Y., & Zuo, N. (2017). Numerical ranges of the product of operators. Operators and Matrices, 11(1), 171-180. [11-12]. https://doi.org/10.7153/oam-11-12