On similarity to contractions of class $C_{\cdot 0}$ with finite defects
On similarity to contractions of class $C_{\cdot 0}$ with finite defects
A criterion on the similarity of a (bounded, linear) operator $T$ on a (complex, separable) Hilbert space $\mathcal H$ in terms of shift-type invariant subspaces of $T$ to a contraction of class $C_{\cdot 0}$ with finite unequal defects is given. Namely, $T$ is similar to such a contraction if and …