当零值蕴涵线性算子的零性时
When Nilpotence Implies the Zeroness of Linear Operators
摘要：
本文给出了幂零算子（处处有界或处处闭）为零的条件。更精确地说，主要证明了任何闭的或处处定义的有界幂零算子具有正的（自伴的）实部自动为零。
英文摘要：
In this paper, we give conditions forcing nilpotent operators (everywhere bounded or closed) to be null. More precisely, it is mainly shown any closed or everywhere defined bounded nilpotent operator with a positive (self-adjoint) real part is automatically null.
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。
