Criterion for the resolvent set of nonsymmetric tridiagonal operators
A. I. Aptekarev, Valeri\uı A. Kaliaguine, Walter Van Assche
Abstract
We study nonsymmetric tridiagonal operators acting in the Hilbert space 2 and describe the spectrum and the resolvent set of such operators in terms of a continued fraction related to the resolvent. In this way we establish a connection between Padé approximants and spectral properties of nonsymmetric tridiagonal operators.
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