Notes On The Non Linear Operator Equation I AXAX n  ï€*
non-linear operator equation
spectral radius
positive definite operator. AMS classification: 39B42.
Necessary and sufficient conditions for the operator equation I AXAX n  ï€* , to have a real positive definite solution X are given. Based on these conditions, some properties of the operator A as well as relation between the solutions X andAare given.