New semi-norm of semi-Hilbertian space operators and its application
Functional Analysis
2024-08-14 v1
Abstract
In this paper, we introduce a new semi-norm of operators on a semi-Hilbertian space, which generalizes the A-numerical radius and A-operator semi-norm. We study the basic properties of this semi-norm, including upper and lower bounds for it. As an application of this new semi-norm, we obtain upper bounds for the A-numerical radius of semi-Hilbertian space operators, which are sharper than the earlier ones.
Cite
@article{arxiv.2107.09431,
title = {New semi-norm of semi-Hilbertian space operators and its application},
author = {Pintu Bhunia and Anirban Sen and Kallol Paul},
journal= {arXiv preprint arXiv:2107.09431},
year = {2024}
}