@Article{ATA-27-320, author = {}, title = {Almost Homomorphisms Between Unital $C^*$-Algebras: A Fixed Point Approach}, journal = {Analysis in Theory and Applications}, year = {2011}, volume = {27}, number = {4}, pages = {320--331}, abstract = {

Let $A$, $B$ be two unital $C^*$−algebras. By using fixed point methods, we prove that every almost unital almost linear mapping $h : A \to B$ which satisfies $h(2^nuy)= h(2^nu)h(y)$ for all $u \in U(A)$, all $y \in A$, and all $n=0,1,2, \cdots$, is a homomorphism. Also, we establish the generalized Hyers–Ulam–Rassias stability of $*$−homomorphisms on unital $C^*$−algebras.

}, issn = {1573-8175}, doi = {https://doi.org/10.1007/s10496-011-0320-3}, url = {http://global-sci.org/intro/article_detail/ata/4604.html} }