Criterion for the resolvent set of nonsymmetric tridiagonal operators
classification
🧮 math.CA
keywords
operatorsnonsymmetricresolventtridiagonalactingapproximantsconnectioncontinued
read the original abstract
We study nonsymmetric tridiagonal operators acting in the Hilbert space $\ell^2$ 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 Pad\'e approximants and spectral properties of nonsymmetric tridiagonal operators.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.