Some properties of the kernel and the cokernel of Toeplitz operators with matrix symbols

DOI10.1016/j.laa.2009.08.010zbMath1183.47021OpenAlexW1975847391MaRDI QIDQ1044608

Cristina Diogo, M. Cristina Câmara, Chafiq Benhida

Publication date: 18 December 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.08.010

zbMATH Keywords

Riemann-Hilbert problemToeplitz operatorfactorisation theory

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items

Multipliers and equivalences between Toeplitz kernels ⋮ Paired kernels and their applications ⋮ Spectral properties of truncated Toeplitz operators by equivalence after extension ⋮ Near invariance and kernels of Toeplitz operators ⋮ Fredholmness of Toeplitz operators and corona problems ⋮ Independence of vector-valued functions associated with kernels of block Hankel operators ⋮ Kernels of unbounded Toeplitz operators and factorization of symbols ⋮ An inverse problem for kernels of block Hankel operators

Cites Work

• Convolution operators and factorization of almost periodic matrix functions
• Factorization of measurable matrix functions. Ed. by Georg Heinig. Transl. from the Russian by Bernd Luderer. With a foreword by Bernd Silbermann. (Licensed ed.)
• Factorization of matrix functions and singular integral operators
• Singular Integral Equations In L p
• Toeplitz Operators with Piecewise Quasisectorial Symbols
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