Article
Ufa Mathematical Journal
Volume 4, Number 4, pp. 44-53
On a spectral property of irregular pencils
Valeev N.F.
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The present paper introduces the notion of a quasi-regular eigenvalue and a quasi-regular pencil spectrum of finite dimensional operator pencils. It is demonstrated that quasi-regular eigenvalues of irregular pencils are continuous with respect to perturbations of the pencil. Properties of quasi-regular eigenvalues are studied and formulae for calculating a quasi-regular spectrum are obtained.