The Upper Bounds of the Numerical Radius on Hilbert C*-Modules
Jing Liu, Deyu Wu, Alatancang Chen · Axioms · 2025
In this paper, we give the generalized Cauchy–Schwarz inequality and an extension of Buzano inequality on quasi-Hilbert C*-modules. Additionally, the upper bounds of the numerical radius of bounded adjointable operators on Hilbert C*-modules are improved. Lastly, we obtain the upper bounds of the numerical radius for the product of bounded adjointable operators on Hilbert C*-modules.