Work

When Nilpotence Implies Normality of Bounded Linear Operators

Year: 2019
Type: preprint
Abstract: 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.
Language: English
Open Access status: green
OpenAlex ID: W2913374468
Cites: 7
Cited by: 1
Related to: 10