Algebras of Approximation Sequences: Finite Sections of Band-Dominated Operators

We develop the stability theory for the finite section method for general band-dominated operators on lp spaces over Zk. The main result says that this method is stable if and only if each member of a whole family of operators - the so-called limit operators of the method - is invertible and if the...

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Bibliographic Details
Published inActa applicandae mathematicae Vol. 65; no. 1-3; p. 315
Main Authors Rabinovich, Vladimir S, Roch, Steffen, Silbermann, Bernd
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Nature B.V 01.01.2001
Subjects
Algebra
Approximation
Mathematics
Stabilization
Studies
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Summary:We develop the stability theory for the finite section method for general band-dominated operators on lp spaces over Zk. The main result says that this method is stable if and only if each member of a whole family of operators - the so-called limit operators of the method - is invertible and if the norms of these inverses are uniformly bounded. [PUBLICATION ABSTRACT]
ISSN:0167-8019
1572-9036
DOI:10.1023/A:1010623505899