Homomorphisms on a class of commutative banach algebras

Abstract

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.

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Rocky Mountain Journal of Mathematics

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