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