Title of article :
Matricial Radius: A Relation of Numerical Radius with Matricial Range
Author/Authors :
Kian, M University of Bojnord , Dehghani, M University of Kashan , Sattari, M University of Zabol
Abstract :
It has been shown that if T is a complex matrix, then
!(T) =
1
n
sup fjTr Xj; X 2 Wn(T)g
=
1
n
sup fkXk1; X 2 Wn(T)g
= sup f!(X); X 2 Wn(T)g
where n is a positive integer, !(T) is the numerical radius and Wn(T)
is the n'th matricial range of T.
.
Keywords :
numerical radius , com - pletely positive mapping , matricial range , Numerical range
Journal title :
Journal of Mathematical Extension(IJME)
