Operator inequalities via accretive transforms

Authors : Ibrahim Halil Gümüş, Hamid Reza Moradı, Mohammad Sababheh

Pages : 40-52

Doi:10.15672/hujms.1160533

View : 199 | Download : 438

Publication Date : 2024-02-29

Article Type : Research Paper

Abstract :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.
Keywords : numerical radius, norm inequality, accretive operators