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arXiv · 2204.07618

Operator inequalities via accretive transforms

Mohammad Sababheh·Ibrahim Halil Gümüş·Hamid Reza Moradi
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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.

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Mohammad Sababheh, Ibrahim Halil Gümüş, Hamid Reza Moradi. 2022-04-15. Operator inequalities via accretive transforms. https://arxiv.org/abs/2204.07618

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