Invertibility issues for a class of Wiener-Hopf plus Hankel operators. (English) Zbl 07428328
Essentially, the goal of the authors is to provide necessary and sufficient conditions for the sum the Wiener-Hopf and Hankel operators to be (one-sided) generalized invertible.
Reviewer: Mohammed El Aïdi (Bogotá)
MSC:
| 47B35 | Toeplitz operators, Hankel operators, Wiener-Hopf operators |
| 47B38 | Linear operators on function spaces (general) |
| 47B33 | Linear composition operators |
| 45E10 | Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) |
Keywords:
Wiener-Hopf plus Hankel operators; invertibility; one-sided invertibility; generalized invertibility; inverse operatorsReferences:
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| [21] | Victor D. Didenko, Department of Mathematics and SUSTech International Center for Mathematics, Southern University of Science and Technology, 1088 Xueyuan Avenue, Nanshan District, Shenzhen, China e-mail: diviol@gmail.com |
| [22] | Bernd Silbermann, Technische Universität Chemnitz, Reichenhainer Str. 39, Chemnitz, Germany e-mail: silbermn@mathematik.tu-chemnitz |
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