论文标题
$ \ Mathcal {b}(\ Mathcal {h})$的新规范的运算符矩阵的数值半径不等式
Numerical radius inequalities of operator matrices from a new norm on $\mathcal{B}(\mathcal{H})$
论文作者
论文摘要
本文是最新一项关于新规范的工作的延续,将$(α,β)$ - 规范命名为希尔伯特空间上有限的线性操作员的空间。我们为上述$ n \ times n $运算符矩阵获得了一些上限。作为本研究的应用,我们估计数值半径和通常的运算符规范为$ n \ times n $ ocerator矩阵,这些矩阵概括了现有的矩阵。
This paper is a continuation of a recent work on a new norm, christened the $ (α, β)$-norm, on the space of bounded linear operators on a Hilbert space. We obtain some upper bounds for the said norm of $n\times n$ operator matrices. As an application of the present study, we estimate bounds for the numerical radius and the usual operator norm of $n\times n$ operator matrices, which generalize the existing ones.