论文标题
进一步的数值半径不平等
Further numerical radius inequalities
论文作者
论文摘要
在本文中，我们为希尔伯特太空运营商和广义的Aluthge Transform的产品数字半径介绍了一些新的不平等。特别是，我们使用著名的Buzano不平等显示了一些$ω（ABC+DEF）$的上限，然后讨论了一些文献中一些结果的后果。之后，使用一些已知的界限显示了涉及广义Aluthge变换的不平等，这是两个算子乘积的数值半径的已知边界。
In this article, we present some new inequalities for the numerical radius of products of Hilbert space operators and the generalized Aluthge transform. In particular, we show some upper bounds for $ω(ABC+DEF)$ using the celebrated Buzano inequality, then some consequences that generalize some results from the literature are discussed. After that, inequalities that involve the generalized Aluthge transform are shown using some known bounds for the numerical radius of the product of two operators.
