Homomorphisms on algebras of Lipschitz functions


We characterize a class of *-homomorphisms on Lip.(X, B(H)), a noncommutative Banach *-algebra of Lipschitz functions on a compact metric space and with values in BCH). We show that the zero map is the only multiplicative *-preserving linear functional on Lip* (X, B(H)). We also establish the algebraic reflexivity property of a class of *-isomorphisms on Lip,(X, B(H)). © Instytut Matematyczny PAN, 2010.

Publication Title

Studia Mathematica