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Banach Journal of Mathematical Analysis
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Invertibility characterization of Wiener-Hopf plus Hankel operators via odd asymmetric factorizations

G. Bogveradze and L. P. Castro

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

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.

Primary Subjects: 47B35
Secondary Subjects: 47A68, 47A53
Keywords: Wiener-Hopf operator; Hankel operator; invertibility; Fredholm property; odd asymmetric factorization

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.bjma/1240336418
Mathematical Reviews number (MathSciNet): MR2461742
Zentralblatt MATH identifier: 05379944

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