The finite section method for Moore-Penrose inversion of Toeplitz operators

DOI10.1007/BF01299842zbMath0817.47036MaRDI QIDQ1341175

Frank Hellinger, Georg Heinig

Publication date: 2 January 1995

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

finite section method for Wiener-Hopf integral and related operatorsinfinite block Toeplitz matricesMoore-Penrose inversion of Toeplitz opertors

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Numerical solutions to equations with linear operators (65J10) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items

The main diagonal of a permutation matrix ⋮ Asymptotic Moore-Penrose inversion of Toeplitz operators ⋮ Asymptotic Moore-Penrose invertibility of singular integral operators ⋮ Coburn's lemma and the finite section method for random Jacobi operators ⋮ Banach algebras of structured matrix sequences ⋮ On real and complex spectra in some real \(C^*\)-algebras and applications ⋮ Extension of \(C^*\)-algebras and Moore-Penrose stability of sequences of additive operators

Cites Work

• Algebraic methods for Toeplitz-like matrices and operators
• Partial indices for Toeplitz-like operators
• Kernel structure of block Hankel and Toeplitz matrices and partial realization
• Displacement structure of pseudoinverses
• Generalized inverses of Hankel and Toeplitz mosaic matrices
• Matrix-valued Toeplitz operators
• Unnamed Item
• Unnamed Item

This page was built for publication: The finite section method for Moore-Penrose inversion of Toeplitz operators