arXiv subjects

Nassima Frid

Publications and source records attributed to Nassima Frid.

2 recordsLinked to original sources

arXiv2022

When Nilpotence Implies the Zeroness of Linear Operators

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.

math.FA↗

arXiv2019

When Nilpotence Implies Normality of Bounded Linear Operators

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.

math.FA↗