当零值蕴涵有界线性算子正规性时
When Nilpotence Implies Normality of Bounded Linear Operators
摘要：
本文给出了幂零矩阵（以及一般的有界线性算子）为零或等价正规的条件。因此，具有例如正实部的非零算子永远不是幂零的。还考虑了拟无穷大的情况。
英文摘要：
In this paper, we give conditions forcing nilpotent matrices (and bounded linear operators in general) to be null or equivalently to be normal. Therefore, a non-zero operator having e.g. a positive real part is never nilpotent. The case of quasinilpotence is also considered.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
