Approximate Derivations with the Radical Ranges of Noncommutative Banach Algebras

Abstract

We consider the derivations on noncommutative Banach algebras, and we will first study the conditions for a derivation on noncommutative Banach algebra. Then, we examine the stability of functional inequalities with a derivation. Finally, we take the derivations with the radical ranges on noncommutative Banach algebras.

Survey on Recent Ulam Stability Results Concerning Derivations

“…Finally, let us mention that some other results, which have not been discussed in this paper (but somehow concern stability of derivations), can be found in [31,[72][73][74][75][76].…”