Geodesic
On a class of $C_{\cdot0}$-contractions: hyperinvariant subspaces and intertwining operators
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 32, Tome 315 (2004), pp. 48-62 Cet article a éte moissonné depuis la source Math-Net.Ru

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A class of $C_{\cdot0}$-contractions that is a generalization of the class of $C_{\cdot0}$-contractions with finite defect indices is considered. The results of [2,3] for $C_{\cdot0}$-contractions with finite defect indices are generalized: the lattices of hyperinvariant subspaces of such contraction $T$ is isomorphic to that of its Jordan model and is generated by subspaces of the form $\operatorname{Ker}\varphi(T)$ and $\operatorname{Ran}\varphi(T)$, where $\varphi\in H^\infty$. The form of the inverse to an isomorphism of the invariant subspace lattices given by an intertwining quasiaffinity is also studied. Next, for $C_{\cdot0}$-contractions in question, the quantity disc related to the lattice of invariant subspaces is computed. 
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     title = {On a~class of $C_{\cdot0}$-contractions: hyperinvariant subspaces and intertwining operators},
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M. F. Gamal'. On a class of $C_{\cdot0}$-contractions: hyperinvariant subspaces and intertwining operators. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 32, Tome 315 (2004), pp. 48-62. http://geodesic.mathdoc.fr/item/ZNSL_2004_315_a3/

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