When Nilpotence Implies the Zeroness of Linear Operators
Functional Analysis
2022-05-02 v2 Operator Algebras
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.
Keywords
Cite
@article{arxiv.2008.09509,
title = {When Nilpotence Implies the Zeroness of Linear Operators},
author = {Nassima Frid and Mohammed Hichem Mortad and Souheyb Dehimi},
journal= {arXiv preprint arXiv:2008.09509},
year = {2022}
}
Comments
arXiv admin note: text overlap with arXiv:1901.09435, arXiv:2007.12027