Compact homomorphisms of real Lipschitz algebras (Q851513)

The authors investigate the endomorphisms of real Banach algebras. As an application, they characterize compact homomorphisms of some real Banach function algebras: (1) \({C(X, \tau)}\), where \(\tau\) is a topological involution on \(X\); (2) Lipschitz algebras on a compact metric space; (3) algebras of functions with Lipschitz or Hölder continuous derivatives up to order \(n\) on a perfect compact subset of the complex plane.