When Nilpotence Implies Normality of Bounded Linear Operators
Nassima Frid, Mohammed Hichem Mortad · arXiv (Cornell University) · 2019
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.