The Finite Section Method in the Space of Essentially Bounded Functions: An Approach Using Limit Operators

DOI10.1081/NFA-120026383zbMath1072.65074MaRDI QIDQ4439623

Marko Lindner

Publication date: 14 December 2003

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

zbMATH Keywords

stabilityband-dominated operatorsfinite section methodlimit operatorsinvertibility at infinityconvolution and multiplication operatorsinvertible at infinity

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Related Items (7)

Boundary integral equations on unbounded rough surfaces: Fredholmness and the finite section method ⋮ Fredholm theory for band-dominated and related operators: a survey ⋮ Extreme cases of limit operator theory on metric spaces ⋮ Sufficiency of Favard's condition for a class of band-dominated operators on the axis ⋮ An affirmative answer to a core issue on limit operators ⋮ The finite section method and stable subsequences ⋮ Limit operators, collective compactness, and the spectral theory of infinite matrices

Cites Work

• Fredholm theory and finite section method for band-dominated operators
• On the stability and convergence of the finite section method for integral equation formulations of rough surface scattering
• Band-dominated operators with operator-valued coefficients, their Fredholm properties and finite sections

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