On a class of finite dimensional contractive perturbations of restricted shifts of finite multiplicity

Paul A. Fuhrmann

doi:10.1007/BF02757867

On a class of finite dimensional contractive perturbations of restricted shifts of finite multiplicity

Paul A. Fuhrmann

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

We study a class of finite-dimensional contractive perturbations of shift operators of finite multiplicity restricted to left invariant subspaces of vectorial H² spaces. We determine their spectra in terms of the characteristic function of the unperturbed operator and the perturbation.

Original language	English
Pages (from-to)	162-175
Number of pages	14
Journal	Israel Journal of Mathematics
Volume	16
Issue number	2
DOIs	https://doi.org/10.1007/BF02757867
State	Published - 1 Jun 1973
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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abstract = "We study a class of finite-dimensional contractive perturbations of shift operators of finite multiplicity restricted to left invariant subspaces of vectorial H 2 spaces. We determine their spectra in terms of the characteristic function of the unperturbed operator and the perturbation.",

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JO - Israel Journal of Mathematics

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On a class of finite dimensional contractive perturbations of restricted shifts of finite multiplicity

Abstract

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