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Finite sections of band operators with slowly oscillating coefficients
Publikationstyp
Journal Article
Date Issued
2004-10-01
Sprache
English
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
Scopus ID
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