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- W2783284907 abstract "In this paper, we present some upper bounds for unitarily invariant norms inequalities. Among other inequalities, we show some upper bounds for the Hilbert-Schmidt norm. In particular, we prove begin{align*} |f(A)Xg(B)pm g(B)Xf(A)|_2leq left|frac{(I+|A|)X(I+|B|)+(I+|B|)X(I+|A|)}{d_Ad_B}right|_2, end{align*} where $A, B, Xinmathbb{M}_n$ such that $A$, $B$ are Hermitian with $sigma (A)cupsigma(B)subsetmathbb{D}$ and $f, g$ are analytic on the complex unit disk $mathbb{{D}}$, $g(0)=f(0)=1$, $textrm{Re}(f)>0$ and $textrm{Re}(g)>0$." @default.
- W2783284907 created "2018-01-26" @default.
- W2783284907 creator A5087667041 @default.
- W2783284907 date "2018-01-09" @default.
- W2783284907 modified "2023-09-27" @default.
- W2783284907 title "Unitarily invariant norm inequalities involving $G_1$ operators" @default.
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