Integral Numerical Radius and Operator Matrix Bounds

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Shiva Sheybani, Hamid Reza Moradi, Mohammad Sababheh
DOI: 10.48550/arxiv.2602.14460
Cited by: 0

Abstract

We establish new integral inequalities for the numerical radius and the operator norm of bounded linear operators on Hilbert spaces. Our results refine classical triangle-type and operator matrix inequalities by incorporating convex combinations and integral averaging techniques. Several consequences, including new identities, sharper bounds, and equality conditions, are obtained, revealing deeper structural connections between the numerical radius and operator norm.

Fields of Study & Subjects

Mathematical Inequalities and Applications Matrix Theory and Algorithms Advanced Banach Space Theory

Publication details

Journal / source
arXiv (Cornell University)
Publication date
16 February 2026
Language
EN
Document type
Preprint