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2009 Invertibility characterization of Wiener-Hopf plus Hankel operators via odd asymmetric factorizations
G. Bogveradze , L. P. Castro
Banach J. Math. Anal. 3(1): 1-18 (2009). DOI: 10.15352/bjma/1240336418

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.

Citation

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G. Bogveradze . L. P. Castro . "Invertibility characterization of Wiener-Hopf plus Hankel operators via odd asymmetric factorizations." Banach J. Math. Anal. 3 (1) 1 - 18, 2009. https://doi.org/10.15352/bjma/1240336418

Information

Published: 2009
First available in Project Euclid: 21 April 2009

zbMATH: 1185.47026
MathSciNet: MR2461742
Digital Object Identifier: 10.15352/bjma/1240336418

Subjects:
Primary: 47B35
Secondary: 47A53 , 47A68

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

Rights: Copyright © 2009 Tusi Mathematical Research Group

Vol.3 • No. 1 • 2009
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