A numerical radius version of the arithmetic-geometric mean of operators
A numerical radius version of the arithmetic-geometric mean of operators
In this paper, we obtain some numerical radius inequalities for operators, in particular for positive definite operators A; B a numerical radius and some operator norm versions for arithmeticgeometric mean inequality are obtained, respectively as ?2(A#B)? ? (A2+B2/2)- 1/2inf ||x||=1 ?(x), where ?(x) = ?(A - B)x,x?2, and ||A||||B|| ? …