Peculiar homomorphisms between algebras of vector-valued maps
Volume 242 / 2018
Studia Mathematica 242 (2018), 141-163
MSC: Primary 46J10, 47B48.
DOI: 10.4064/sm8799-6-2017
Published online: 11 January 2018
Abstract
We study unital homomorphisms between Banach algebras of vector-valued maps including Banach algebras of Lipschitz maps with values in unital commutative Banach algebras. We provide sufficient conditions under which every unital homomorphism or isomorphism between Banach algebras of vector-valued continuous maps is given as a composition operator of some special form.
