Functional models and finite dimensional perturbations of the shift |
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Authors: | Chafiq Benhida Dan Timotin |
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Affiliation: | (1) UFR de Mathématiques-URA CNRS 751, Université des Sciences et Technologies de Lille, Bât. M2, F-59655 Villeneuve D'Ascq Cedex, France;(2) Institute of Mathematics of the Romanian Academy, PO-Box 1-764, 70700 Bucharest, Romania |
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Abstract: | We study finite dimensional perturbations of shift operators and their membership to the classes Am, n appearing in the theory of dual algebras. The results obtained yield informations about the lattice of invariant subspaces via the techniques of Scott Brown. |
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Keywords: | 47A55 47A25 47A60 |
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