The Upper Bounds of the Numerical Radius on Hilbert C*-Modules
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.
Authors
- Alatancang Chen (ORCID: https://orcid.org/0000-0002-3721-5182)
- Deyu Wu (ORCID: https://orcid.org/0000-0003-3418-9051)
- Jing Liu
Institutions
- Inner Mongolia Normal University (CN)
- Inner Mongolia University (CN)
- Baotou Teachers College (CN)
Publication Details
- Journal
- Axioms
- Published
- 2025-03-07
- DOI
- https://doi.org/10.3390/axioms14030199
- Citations
- 1
- Primary Topic
- Matrix Theory and Algorithms
- Type
- article
- Field-Weighted Citation Impact
- 1.50