Stability of additive functional equation on discrete quantum semigroups

TL;DR

This paper demonstrates that the noncommutative version of the additive functional equation remains stable on amenable discrete quantum semigroups, extending classical stability results to a quantum algebraic setting.

Contribution

It generalizes the classical Hyers-Ulam stability of additive equations to the framework of discrete quantum semigroups, a noncommutative setting.

Findings

Hyers-Ulam stability holds for the noncommutative additive functional equation

The result applies specifically to amenable discrete quantum (semi)groups

This extends classical stability results to quantum algebraic structures.

Abstract

We show that noncommutative analog of additive functional equation has Hyers-Ulam stability on amenable discrete quantum (semi)groups. This generalizes an old classical result.