Extension of \(C^*\)-algebras and Moore-Penrose stability of sequences of additive operators

DOI10.1016/S0024-3795(97)10014-3zbMath0943.65069MaRDI QIDQ1307198

Bernd Silbermann, Viktor D. Didenko

Publication date: 5 September 2000

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

singular integral equationssplines\(C^*\)-algebraMoore-Penrose inverseadditive operatorsMoore-Penrose stability

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Linear operators in (C^*)- or von Neumann algebras (47C15)

Cites Work

• The finite section method for Moore-Penrose inversion of Toeplitz operators
• Asymptotic Moore-Penrose inversion of Toeplitz operators
• On the stability of some operator sequences and the approximate solution of singular integral equations with conjugation
• Asymptotic Moore-Penrose invertibility of singular integral operators
• A Banach Algebra Approach to the Stability of Projection Methods for Singular Integral Equations
• On generalized inverses in C*-algebras
• Generalized inverses in C*-algebras II
• Approximation Methods for Singular Integral Equations with Conjugation on Curves with Corners
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