论文标题
运算符矩阵的标准和数值半径不平等
Norm and numerical radius inequalities for operator matrices
论文作者
论文摘要
操作员矩阵在研究希尔伯特太空运营商方面发挥了重要作用。在本文中,我们讨论了操作员矩阵的进一步属性,并为操作员规范和该操作员的数值半径提供了新的估计。此外,将讨论其真实和虚构部分的运算符矩阵,并将显示此类类别的更尖锐的界限。
Operator matrices have played a significant role in studying Hilbert space operators. In this paper, we discuss further properties of operator matrices and present new estimates for the operator norms and numerical radii of such operators. Moreover, operator matrices whose real and imaginary parts are positive will be discussed, and sharper bounds will be shown for such class.