Gives partial descriptions of additive jointly separating maps on vector-valued function spaces including Lipschitz and C1 functions, then uses them to characterize continuous ring homomorphisms in the corresponding Banach algebras, generalizing recent work on unital homomorphisms.
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Additive jointly separating maps and ring homomorphisms
Gives partial descriptions of additive jointly separating maps on vector-valued function spaces including Lipschitz and C1 functions, then uses them to characterize continuous ring homomorphisms in the corresponding Banach algebras, generalizing recent work on unital homomorphisms.