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arXiv · 2008.09509

When Nilpotence Implies the Zeroness of Linear Operators

Nassima Frid·Mohammed Hichem Mortad·Souheyb Dehimi
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Abstract

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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Nassima Frid, Mohammed Hichem Mortad, Souheyb Dehimi. 2020-08-19. When Nilpotence Implies the Zeroness of Linear Operators. https://arxiv.org/abs/2008.09509

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