AN OPERATOR EXTENSION OF BOHR'S INEQUALITY

Let A1, …, An, X1, …, Xn be bounded operators acting on a Hilbert space with Ai ≥ 0, Xi*xi ≤ I for i = 1, .., n, and let 1< r ≤ 2 and αi>0 for i=1, …, n. Then We also present some norm inequalities related to the above operator extension of the Bohr inequality.

Keywords:

Bohrs inequality , operator norm , Schatten p-norm , operator inequality , positive operator , Hilbert space