Title : ( Some Sharp Estimations for Davis–Wielandt Radius in B(H) )
Authors: Sadaf Fakhri Moghaddam , Seyyed Alireza Kamel Mirmostafaee , Mohammad Janfada ,
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Abstract
We study Davis–Wielandt numerical radius of Hilbert space operators. We obtain a sharp inequality for Davis–Wielandt numerical radius which improves a similar inequality in the literature. We also obtain some sharp upper and lower bounds for Davis–Wielandt numerical radius of compositions of two operators. By providing some examples, we will show that in some situations, our results give sharper approximation for Davis–Wielandt numerical radius of operators than some old results.
Keywords
, Numerical range, numerical radius, inequality, operator algebra.
@article{paperid:1092962,
author = {Fakhri Moghaddam, Sadaf and Kamel Mirmostafaee, Seyyed Alireza and Janfada, Mohammad},
title = {Some Sharp Estimations for Davis–Wielandt Radius in B(H)},
journal = {Mediterranean Journal of Mathematics},
year = {2022},
volume = {19},
number = {6},
month = {November},
issn = {1660-5446},
keywords = {Numerical range; numerical radius; inequality; operator
algebra.},
}
%0 Journal Article
%T Some Sharp Estimations for Davis–Wielandt Radius in B(H)
%A Fakhri Moghaddam, Sadaf
%A Kamel Mirmostafaee, Seyyed Alireza
%A Janfada, Mohammad
%J Mediterranean Journal of Mathematics
%@ 1660-5446
%D 2022
