A study of resolvent set for a class of band operators with matrix elements

For operators generated by a certain class of infinite three-diagonal matrices with matrix elements we establish a characterization of the resolvent set in terms of polynomial solutions of the underlying second order finite-difference equations. This enables us to describe some asymptotic behavior o...

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Bibliographic Details
Main Author: Osipov Andrey
Format: Article
Language:English
Published: De Gruyter 2016-05-01
Series:Concrete Operators
Subjects:
Online Access:http://www.degruyter.com/view/j/conop.2016.3.issue-1/conop-2016-0010/conop-2016-0010.xml?format=INT