Arithmetic Bohr radius of bounded linear operators
Functional Analysis
2024-10-28 v2 Complex Variables
Abstract
In this paper, we investigate the arithmetic Bohr radius of bounded linear operators between arbitrary complex Banach spaces. We establish the close connection between the classical Bohr radius and the arithmetic Bohr radius of bounded linear operators. Further, we study the asymptotic estimates of arithmetic Bohr radius for identity operator on infinite dimensional complex Banach spaces. Finally, we obtain the correct asymptotic behavior of Bohr radii of operators between sequence spaces.
Cite
@article{arxiv.2410.18620,
title = {Arithmetic Bohr radius of bounded linear operators},
author = {Vasudevarao Allu and Subhadip Pal},
journal= {arXiv preprint arXiv:2410.18620},
year = {2024}
}
Comments
16 Pages. Some minor corrections have been fixed