Title : ( Numerical Radius of Bounded Operators with ℓ p -Norm )
Authors: Sadaf Fakhri Moghaddam , Seyyed Alireza Kamel Mirmostafaee ,
Full TextAbstract
We study the numerical radius of bounded operators on direct sum of a family of Hilbert spaces with respect to the p -norm, where 1 ≤ p ≤ ∞. We propose a new method which enables us to prove validity of many inequalities on numerical radius of bounded operators on Hilbert spaces when the underling space is a direct sum of Hilbert spaces with lp-norm, where 1 ≤ p ≤ 2. We also provide an example to show that some known results on numerical radius are not true for a space that is the set of bounded operators on lp-sum of Hilbert spaces where 2 < p < ∞. We also present some applications of our results.
Keywords
, Numerical radius, inner product, lp-norm
@article{paperid:1096099,
author = {Fakhri Moghaddam, Sadaf and Kamel Mirmostafaee, Seyyed Alireza},
title = {Numerical Radius of Bounded Operators with ℓ
p
-Norm},
journal = {Tatra Mountains Mathematical Publications},
year = {2022},
volume = {81},
number = {1},
month = {November},
issn = {1338-9750},
pages = {155--164},
numpages = {9},
keywords = {Numerical radius; inner product; lp-norm},
}
%0 Journal Article
%T Numerical Radius of Bounded Operators with ℓ
p
-Norm
%A Fakhri Moghaddam, Sadaf
%A Kamel Mirmostafaee, Seyyed Alireza
%J Tatra Mountains Mathematical Publications
%@ 1338-9750
%D 2022
