Year: 2026
Type: preprint
Abstract: In this article, we derive various weighted p-numerical radius inequalities using the Schatten p-norm with the generalized Aluthge transform for operators in Hilbert spaces. In addition, the article explores classical numerical radius and norm inequalities for operators. The bounds obtained in this work improve upon several well-known previous results. In addition, we provide examples where we calculate and analyze upper bounds for the weighted numerical radius of different types of matrices using generalized Aluthge transformation.
Source: arXiv (Cornell University)
Authors: Pal, Kallal, Chandok, Sumit
Institution: Thapar Institute of Engineering & Technology
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221130191