Geodesic
The Dual of the Compressed Shift
Canadian mathematical bulletin, Tome 64 (2021) no. 1, pp. 98-111

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DOI

For an inner function u, we discuss the dual operator for the compressed shift $P_u S|_{{\mathcal {K}}_u}$, where ${\mathcal {K}}_u$ is the model space for u. We describe the unitary equivalence/similarity classes for these duals as well as their invariant subspaces.
DOI : 10.4153/S0008439520000260
Mots-clés : Inner functions, Hardy spaces, compressed shift, unitary equivalence, similarity, invariant subspaces 
Câmara, M. C.; Ross, W. T. The Dual of the Compressed Shift. Canadian mathematical bulletin, Tome 64 (2021) no. 1, pp. 98-111. doi: 10.4153/S0008439520000260
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