TY - JOUR
T1 - Generalized Estimation of Numerical Radius for the off-Diagonal 2×2 Operator Matrices and Its Application
AU - Gao , Muqile
AU - Wu , Deyu
AU - Chen , Alatancang
JO - Journal of Mathematical Study
VL - 3
SP - 323
EP - 337
PY - 2025
DA - 2025/09
SN - 58
DO - http://doi.org/10.4208/jms.v58n3.25.05
UR - https://global-sci.org/intro/article_detail/jms/24411.html
KW - Numerical radius, operator matrix, extension Buzano inequality, Young inequality.
AB - <p style="text-align: justify;">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.</p>