Some Sharp bounds for the generalized Davis-Wielandt radius
Mehdi Naimi, Mohammed Benharrat, Faouzi Hireche
TL;DR
This paper investigates bounds for the generalized Davis-Wielandt radius of operators in Hilbert spaces, providing new lower bounds and an alternative inequality to improve understanding of these operator measures.
Contribution
It introduces novel lower bounds for the generalized Davis-Wielandt radius and numerical radius, along with an alternative triangular inequality for operators.
Findings
New lower bounds for the generalized Davis-Wielandt radius
Derived an alternative triangular inequality for operators
Enhanced understanding of operator bounds in Hilbert spaces
Abstract
This paper presents a study of the generalized Davis-Wielandt radius of Hilbert space operators. New lower bounds for the generalized Davis-Wielandt radius and numerical radius are provided. An alternative of the triangular inequality for operators is also derived.
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