標題: NUMERICAL RANGES OF THE PRODUCT OF OPERATORS
作者: Du, Hongke
Li, Chi-Kwong
Wang, Kuo-Zhong
Wang, Yueqing
Zuo, Ning
應用數學系
Department of Applied Mathematics
關鍵字: Numerical range;product of matrices and operators
公開日期: 1-三月-2017
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.
URI: http://dx.doi.org/10.7153/oam-11-12
http://hdl.handle.net/11536/144198
ISSN: 1846-3886
DOI: 10.7153/oam-11-12
期刊: OPERATORS AND MATRICES
Volume: 11
起始頁: 171
結束頁: 180
顯示於類別:期刊論文