A generalized collectively compact operator theory with an application to integral equations on unbounded domains

DOI10.1216/jiea/1031315433zbMath1055.47017OpenAlexW1964578330MaRDI QIDQ1425621

Simon N. Chandler-Wilde, Bo Zhang

Publication date: 17 March 2004

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: http://centaur.reading.ac.uk/32642/1/10.1.1.65.4927.pdf

zbMATH Keywords

Banach spacescollectively compact operator theorysystems of second order integral equations on unbounded domains

Mathematics Subject Classification ID

Systems of singular linear integral equations (45F15) Linear operators defined by compactness properties (47B07) Applications of operator theory to differential and integral equations (47N20) Equations and inequalities involving linear operators, with vector unknowns (47A50) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Compactness in Banach (or normed) spaces (46B50)

Related Items (6)

The mathematics of scattering by unbounded, rough, inhomogeneous layers ⋮ Boundary integral equations on unbounded rough surfaces: Fredholmness and the finite section method ⋮ 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 ⋮ A semismooth Newton method for topology optimization ⋮ Limit operators, collective compactness, and the spectral theory of infinite matrices

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