MMN-3934
Numerical radius inequalities of operator matrices from a new norm on B(H)
Pintu Bhunia; Aniket Bhanja; Debmalya Sain; Kallol Paul;Abstract
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.
Vol. 24 (2023), No. 2, pp. 653-664
DOI: 10.18514/MMN.2023.3934