Abstract
We study a class of finite-dimensional contractive perturbations of shift operators of finite multiplicity restricted to left invariant subspaces of vectorialH 2 spaces. We determine their spectra in terms of the characteristic function of the unperturbed operator and the perturbation.
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Partially supported by the Batsheva de Rothschild Fund for the Advancement of Science and Technology.
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Fuhrmann, P.A. On a class of finite dimensional contractive perturbations of restricted shifts of finite multiplicity. Israel J. Math. 16, 162–175 (1973). https://doi.org/10.1007/BF02757867
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DOI: https://doi.org/10.1007/BF02757867