The structure of homomorphisms from Banach algebras of differentiable functions into finite dimensional Banach algebras

Abstract

We show that the structure of continuous and discontinuous homomorphisms from the Banach algebra Cn[0,1] of n times continuously differentiable functions on the unit interval [0,1] into finite dimensional Banach algebras is completely determined by higher point derivations.

Keywords

• Banach algebras
• homomorphisms
• local algebras
• singularity set
• higher point derivations.