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Functional models and finite dimensional perturbations of the shift
Authors:Chafiq Benhida  Dan Timotin
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
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.
Keywords:47A55  47A25  47A60
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