Approximation of derivations and the superstability in random Banach -algebras

초록

We prove that approximations of derivations on random Banach ∗-algebras are exactly derivations by using a fixed point method. Furthermore, we show that approximations of quadratic ∗-derivations on random Banach ∗-algebras are exactly quadratic ∗-derivations. We, moreover, prove that approximations of derivations on random C∗-ternary algebras are exactly derivations by using a fixed point method.

키워드