SPECTRAL RADIUS ALGEBRAS AND C0 CONTRACTIONS. II

Abstract We consider spectral radius algebras associated with C 0 contractions. When the operator A is algebraic, we describe all invariant subspaces that are common for operators in its spectral radius algebra ℬ A . When the operator A is not algebraic, ℬ A is weakly dense and we characterize a set of rank-one operators in ℬ A that is weakly dense in ℒ(ℋ).