Almost multiplicative maps with respect to almost associative operations on Banach algebras

Abstract

We prove an Ulam type stability result for a non-associative version of the multiplicativity equation, that is, $T(xy)=\Psi (T(x),T(y))$, where $T$ is a unital bounded operator acting from an amenable Banach algebra to a dual Banach algebra.

arXiv comment11 pages