Homomorphisms on a class of commutative banach algebras


We derive representations for homomorphisms and isomorphisms between Banach algebras of Lipschitz functions with values in a sequence space, including l. We show that such homomorphisms are automatically continuous and preserve the ? operation. We also give necessary conditions for the compactness of homomorphisms in these settings and give characterizations for the isometric isomorphisms.© 2013 Rocky Mountain Mathematics Consortium.

Publication Title

Rocky Mountain Journal of Mathematics