On the convergence of Neumann series for noncompact operators

DOI10.21136/cmj.1991.102465zbMath0754.47005OpenAlexW2285402120MaRDI QIDQ3982195

Dagmar Medková

Publication date: 26 June 1992

Full work available at URL: https://eudml.org/doc/13930

zbMATH Keywords

Dirichlet problembounded linear operatorsseriesvon Neumann seriescontraction compact operator

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Equations and inequalities involving linear operators, with vector unknowns (47A50) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

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The third boundary value problem in potential theory for domains with a piecewise smooth boundary ⋮ Solution of the Neumann problem for the Laplace equation

Cites Work

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• On the convergence of Neumann series in Banach space
• Layer potentials on boundaries with corners and edges
• Some examples concerning applicability of the Fredholm-Radon method in potential theory
• The Fredholm radius of an operator in potential theory. [Continuation]