## Ring homomorphisms on real Banach algebras.(English)Zbl 1038.46042

Summary: Let $$B$$ be a strictly real commutative real Banach algebra with the carrier space $$\Phi_{B}$$. If $$A$$ is a commutative real Banach algebra, then we give a representation of a ring homomorphism $$\rho : A \rightarrow B$$ which need not be linear nor continuous. If $$A$$ is a commutative complex Banach algebra, then $$\rho(A)$$ is contained in the radical of $$B$$.

### MSC:

 46J05 General theory of commutative topological algebras
Full Text: