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This paper investigates the numerical range and numerical radius of convex function operators, providing new inclusions and inequalities based on classical convexity properties. It establishes that the numerical range of a convex function operator is a convex set and derives inequalities for the numerical radius. The results are applicable to self-adjoint operators in a complex Hilbert space, enhancing the understanding of operator theory.
- Author
- alaafriehat12
- Language
- EN