Some properties of the kernel and the cokernel of Toeplitz operators with matrix symbols
type: Item
instance of: scholarly article
title: Some properties of the kernel and the cokernel of Toeplitz operators with matrix symbols
zbMATH Open document ID: 1183.47021
published in: Linear Algebra and its Applications
publication date: 2009-12-18T00:00:00Z
review text: The relation between kernels and cokernels of Toeplitz operators are studied in connection with certain relations between their symbols by the use of a Riemann-Hilbert approach. This approach is even applicable if the symbol possesses no factorization and has the advantage that simple linear algebraic and complex analytic techniques can be used. The obtained results are applied to Toeplitz operators in \((H_2^*)^2\) which have the property that the determinant of the symbol admits a bounded Wiener-Hopf factorization.
reviewed by: Birgit Jacob
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 35Q15
Mathematics Subject Classification ID: 47A68
zbMATH DE Number: 5650039
zbMATH Keywords: Toeplitz operator
zbMATH Keywords: Riemann-Hilbert problem
zbMATH Keywords: factorisation theory
author: C. Benhida
author: M. C. Câmara
author: Cristina Diogo
MaRDI profile type: Publication
full work available at URL: j.laa.2009.08.010
OpenAlex ID: W1975847391
cites work: Factorization of matrix functions and singular integral operators
cites work: Factorization of measurable matrix functions. Ed. by Georg Heinig. Transl. from the Russian by Bernd Luderer. With a foreword by Bernd Silbermann. (Licensed ed.)
cites work: Q3752967
cites work: Toeplitz Operators with Piecewise Quasisectorial Symbols
cites work: Convolution operators and factorization of almost periodic matrix functions
cites work: Q5624175
cites work: Singular Integral Equations In L p
DOI: 10.1016/J.LAA.2009.08.010
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description: scientific article; zbMATH DE number 5650039