Work

When Nilpotence Implies the Zeroness of Linear Operators

Year: 2020

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2008.09509

Authors: Frid, Nassima, Mortad, Mohammed Hichem, Dehimi, Souheyb

Institutions: Université Oran 1 Ahmed Ben Bella, University Mohamed El Bachir El Ibrahimi of Bordj Bou Arreridj

Language: English

Topic: Advanced Banach Space Theory

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4285005976

Cites:

Cited by: 3

Related to: 10