论文标题
当Nilpotence暗示线性操作员的Zeroness
When Nilpotence Implies the Zeroness of Linear Operators
论文作者
论文摘要
在本文中,我们提供的条件迫使Nilpotent操作员(无处不在或关闭)无效。更确切地说,它主要显示出任何封闭或在任何地方定义的有界的尼尔翼型操作员,其正(自动接合)真实部分自动null。
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.