Decompositions and asymptotic limit for bicontractions
The asymptotic limit of a bicontraction \(T\) (that is, a pair of commuting contractions) on a Hilbert space \(\mathcal{H}\) is used to describe a Nagy-Foiaş-Langer type decomposition of \(T\). This decomposition is refined in the case when the asymptotic limit of \(T\) is an orthogonal projection. The case of a bicontraction \(T\) consisting of hyponormal (even quasinormal) contractions is also considered, where \(S_{T^*}=S_{T^*}^2\).
scientific article; zbMATH DE number 6033780