Approximation of an Additive ?1,?2-Random Operator Inequality

摘要

We solve the additive ?1,?2-random operator inequality ξtTω,u+v?Tω,u?Tω,v≥κMξt?1Tω,u+v+Tω,u?v?2Tω,u,ξt?22Tω,u+v/2?Tω,u?Tω,v, in which ?1,?2∈? are fixed and max2?1,?21. Finally, we get an approximation of the mentioned additive ?1,?2-random operator inequality by direct technique.