Derives new inequalities for the weighted A-numerical radius in semi-Hilbert spaces, enhancing theoretical tools.
In this paper, we propose an alternative formulation of the weighted A-numerical radius {ω(A,v)} (·) for bounded linear operators on semi-Hilbert spaces induced by a positive operator A. Building upon the framework introduced by Gao and Liu [Oper. Matrices, 17 (2023), 343-354], we derive several new inequalities that offer sharper bounds and refined characterizations of this semi-norm. These results enrich the existing theory by extending the analytical tools available for studying operator behavior in semi-Hilbertian contexts.
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Ren et al. (2025) studied this question.
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