Abstract:
Using methods of operator theory and operator algebra, some relations of several norms on the Lipschitz algebras Lα(K, Mn(F)) and lα(K, Mn(F)) are discussed and it is proved that they are all unital regular *-subalgebras of the C*-algebra C(K,Mn(F)), it is obtained that (lα(K, Mn(F)), ‖·‖α) is a closed and unital inverse-closed subalgebra of (Lα(K, Mn(F)), ‖·‖α).
