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- W2624994589 abstract "We generalize several inequalities involving powers of the numerical radius for off-diagonal part of $2times2$ operator matrices of the form $T=left[begin{array}{cc} 0&B, C&0 end{array}right]$, where $B, C$ are two operators. In particular, if $T=left[begin{array}{cc} 0&B, C&0 end{array}right]$, then we get begin{align*} {1over 2^{{3over2}(r-1)}}max{ | mu |, | eta | } leq w^{r}(T)leq frac{1}{2^{r+1}} max{ | mu |, | eta | }, end{align*} where $rgeq 2$ and $ mu=|(C-B^{*})+i(C+B^{*})|^{r}+|(B^{*}-C)+i(C+B^{*})|^{r}$, $ eta=|(B-C^{*})+i(B+C^{*})|^{r}+|(C^{*}-B)+i(B+C^{*})|^{r}$." @default.
- W2624994589 created "2017-06-23" @default.
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- W2624994589 date "2017-06-15" @default.
- W2624994589 modified "2023-09-27" @default.
- W2624994589 title "Some generalizations of numerical radius on off-diagonal part of $2times 2$ operator matrices" @default.
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