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- W2752411493 abstract "We prove numerical radius inequalities involving commutators of $G_{1}$ operators and certain analytic functions. Among other inequalities, it is shown that if $A$ and $X$ are bounded linear operators on a complex Hilbert space, then begin{equation*} w(f(A)X+Xbar{f}(A))leq {frac{2}{d_{A}^{2}}}w(X-AXA^{ast }), end{equation*} where $A$ is a $G_{1}$ operator with $sigma (A)subset mathbb{D}$ and $f$ is analytic on the unit disk $mathbb{D}$ such that $textrm{Re}(f)>0$ and $f(0)=1$." @default.
- W2752411493 created "2017-09-15" @default.
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- W2752411493 date "2017-09-05" @default.
- W2752411493 modified "2023-09-27" @default.
- W2752411493 title "Numerical radius inequalities involving commutators of $G_{1}$ operators" @default.
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