Abstract
We consider a class of C·0-contractions that is a generalization of the class of C·0-contractions with finite defect indices. Some results of Uchigama and Wu for C·0-contractions with finite defect indices are generalized: the lattices of hyperinvariant subspaces of such a contraction T is isomorphic to that of its Jordan model and is generated by subspaces of the form Ker ϕ(T) and Ran ϕ(T), where ϕ ∈ H∞. The form of the inverse to an isomorphism of the invariant subspace lattices given by an intertwining quasiaffinity is also studied. Next, for C·0-contractions in question, the characteristic disc related to the lattice of invariant subspaces is computed. Bibliography: 13 titles.
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