科研之友
微信
新浪微博
Facebook
分享链接
摘要
The singular values of XY - YX are the objects under investigation. Here, X and Y are square matrices with complex entries, and one of them has rank one. Hence, there are at most two non-trivial numbers among the commutator's singular values, and the pairs of interest can be depicted in the plane. The emphasis will lie on the unexpectedly intriguing case in which both matrices are of rank one - because the result then is astonishingly complex, and the problem gives rise to interpretations unveiling geometry acting in the background.
- 出版日期2015-10
