Numerical radius inequalities of operator matrices using $(α,β)$-norm

P. Bhunia, A. Bhanja, D. Sain, K. Paul

Published 2020-08-31Version 1

This paper is a continuation of a recent work on a new norm, christened the $ (\alpha, \beta)$-norm, on the space of bounded linear operators on a Hilbert space. We obtain some upper bounds for the said norm of $n\times n$ operator matrices. As an application of the present study, we estimate bounds for the numerical radius and the usual operator norm of $n\times n$ operator matrices, which generalize the existing ones.