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

Frid, Nassima, Mortad, Mohammed Hichem, Dehimi, Souheyb

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.

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