Finite sections of band operators with slowly oscillating coefficients

Publikationstyp
Journal Article
Date Issued
2004-10-01
Sprache
English
Author(s)
Lindner, Marko  orcid-logo
Rabinovich, Vladimir S.  
Roch, Steffen  
TORE-URI
http://hdl.handle.net/11420/10580
Journal
Linear algebra and its applications  
Volume
390
Issue
1-3
Start Page
19
End Page
26
Citation
Linear Algebra and Its Applications 390 (1-3): 19-26 (2004-10-01)
Publisher DOI
10.1016/j.laa.2004.05.005
Scopus ID
2-s2.0-4344649122
The purpose of this note is to show that the finite section method for a band operator with slowly oscillating coefficients is stable if and only if the operator is invertible. This result generalizes the classical stability criterion for the finite section method for band Toeplitz operators (= the case of constant coefficients).
Subjects
Band operators
Finite sections method
Slowly oscillating functions
DDC Class
510: Mathematik