One sided invertibility of matrices over commutative rings, corona problems, and Toeplitz operators with matrix symbols

DOI10.1016/j.laa.2014.06.038zbMath1310.47040arXiv1403.6231OpenAlexW1993364392MaRDI QIDQ401168

Leiba Rodman, M. Cristina Câmara, Ilya M. Spitkovskij

Publication date: 26 August 2014

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

Full work available at URL: https://arxiv.org/abs/1403.6231

zbMATH Keywords

Toeplitz operatorWiener-Hopf factorizationcorona problemone-sided invertibilityCoburn's property

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) (Semi-) Fredholm operators; index theories (47A53)

Related Items (6)

Closed form of solutions of certain linear conjugation problems for three-dimensional analytic vector ⋮ Riemann-Hilbert problems, Toeplitz operators and \({\mathfrak{Q}}\)-classes ⋮ Contribution to the general linear conjugation problem for a piecewise analytic vector ⋮ Closed-form solvability of a linear conjugation problem for three-dimensional piecewise analytic vector ⋮ Some classes of linear conjugation problems for a four-dimensional vector that are solvable in closed form ⋮ On the Kernel and Cokernel of Some Toeplitz Operators

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