Banach Journal of Mathematical Analysis

Invertibility characterization of Wiener-Hopf plus Hankel operators via odd asymmetric factorizations

G. Bogveradze and L. P. Castro

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Abstract

The invertibility of Wiener-Hopf plus Hankel operators with essentially bounded Fourier symbols is characterized via certain factorization properties of the Fourier symbols. In addition, a Fredholm criterion for these operators is also obtained and the dimensions of the kernel and cokernel are described.

Article information

Source
Banach J. Math. Anal. Volume 3, Number 1 (2009), 1-18.

Dates
First available: 21 April 2009

Permanent link to this document
http://projecteuclid.org/euclid.bjma/1240336418

Mathematical Reviews number (MathSciNet)
MR2461742

Zentralblatt MATH identifier
05379944

Subjects
Primary: 47B35: Toeplitz operators, Hankel operators, Wiener-Hopf operators [See also 45P05, 47G10 for other integral operators; see also 32A25, 32M15]
Secondary: 47A68: Factorization theory (including Wiener-Hopf and spectral factorizations) 47A53: (Semi-) Fredholm operators; index theories [See also 58B15, 58J20]

Keywords
Wiener-Hopf operator Hankel operator invertibility Fredholm property odd asymmetric factorization

Citation

Bogveradze , G.; Castro , L. P. Invertibility characterization of Wiener-Hopf plus Hankel operators via odd asymmetric factorizations. Banach Journal of Mathematical Analysis 3 (2009), no. 1, 1--18. http://projecteuclid.org/euclid.bjma/1240336418.


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References

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