Approximation of derivations and the superstability in random Banach ∗-algebras

Abstract 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 approx...

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Bibliographic Details
Main Authors: Reza Saadati, Choonkil Park
Format: Article
Language:English
Published: SpringerOpen 2018-11-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-018-1882-6