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Generalized Estimation of Numerical Radius for the off-Diagonal 2×2 Operator Matrices and Its Application

Year: 2025

Type: article

Abstract: 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.

Source: Journal of Mathematical Study

DOI: 10.4208/jms.v58n3.25.05

Authors: Muqile Gao, Deyu Wu, Alatancang Chen

Institutions: Inner Mongolia University, Hohhot Minzu College, Inner Mongolia Normal University

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4414256928

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Cites: 19

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