Stochastic Lie bracket (derivation, derivation) in MB-algebras

Abstract

Abstract By a stochastic controller, we make stable the pseudo stochastic Lie bracket (derivation, derivation) in complex MB-algebras. Next, we get an approximation by a stochastic Lie bracket (derivation, derivation) and calculate the maximum error of the estimate.

Keywords

• Lie bracket (derivation, derivation)
• Stability
• Stochastic controller
• Fixed point technique
• Banach algebra
• Random operator inequality