Generalized Estimation of Numerical Radius for the off-Diagonal 2×2 Operator Matrices and Its Application
Muqile Gao, Deyu Wu Deyu Wu, Alatancang Chen · Journal of Mathematical Study · 2025
We give some generalized upper bounds for the numerical radius of off-diagonal 2×2 operator matrices. These inequalities are mainly based on the extension Buzano inequality and the generalized Young inequality. And our bounds refine and generalize the existing related upper bounds. Moreover, the conclusion is applied to the non-monic operator polynomials and gives a new bound for the eigenvalues of these operator polynomials.