Stochastic continuity of random derivations on 𝐻*-algebras

Abstract

In this paper we obtain the continuity of stochastically derivative linear random operators on (nonassociative) H ∗ {H^ \ast } -algebras with zero annihilator. Moreover, we investigate the stochastic size of the separating subspace for linear random operators, on H ∗ {H^ \ast } -algebras, which have some probability of being derivative.