论文标题
通过增生变换的操作员不平等
Operator inequalities via accretive transforms
论文作者
论文摘要
在本文中，我们采用了变换的某些属性$ c_ {m，m}（a）=（mi-a^*）（a-mi）$，以在复杂的Hilbert Space $ \ Mathcal {H} $上获得有限的线性操作员$ a $的新不平等。特别是，我们获得了$ | a |，| a^*|，| \ mathfrak {r} a | $和$ | \ mathfrak {i} a | $之间的新关系。也将出现进一步扩展一些已知不平等的数值半径不平等。
In this article, we employ certain properties of the transform $C_{M,m}(A)=(MI-A^*)(A-mI)$ to obtain new inequalities for the bounded linear operator $A$ on a complex Hilbert space $\mathcal{H}$. In particular, we obtain new relations among $|A|,|A^*|,|\mathfrak{R}A|$ and $|\mathfrak{I}A|$. Further numerical radius inequalities that extend some known inequalities will be presented too.
