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On the Fredholm Index of Matrix Wiener-Hopf plus/minus Hankel Operators with Semi-almost Periodic Symbols

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Operator Algebras, Operator Theory and Applications

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 181))

Abstract

Conditions for the Fredholm property of Wiener-Hopf plus/minus Hankel operators with semi-almost periodic Fourier matrix symbols are exhibited. Under such conditions, a formula for the sum of the Fredholm indices of these Wiener-Hopf plus Hankel and Wiener-Hopf minus Hankel operators is derived. Concrete examples are worked out in view of the computation of the Fredholm indices.

This research was supported by Fundação para a Ciência e a Tecnologia (Portugal) through Unidade de Investigação Matemática e Aplicações of University of Aveiro.

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Authors and Affiliations

  1. Research Unit “Matemática e Aplicações” Department of Mathematics, University of Aveiro, 3810-193, Aveiro, Portugal

    Giorgi Bogveradze & Luís P. Castro

Authors
  1. Giorgi Bogveradze
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  2. Luís P. Castro
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Editor information

Editors and Affiliations

  1. Departamento de Matemática, Instituto Superior Técnico, U.T.L., Avenida Rovisco Pais, 1049-001, Lisboa, Portugal

    Maria Amélia Bastos , Amarino Brites Lebre  & Frank-Olme Speck ,  & 

  2. School of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, 69978, Israel

    Israel Gohberg

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Bogveradze, G., Castro, L.P. (2008). On the Fredholm Index of Matrix Wiener-Hopf plus/minus Hankel Operators with Semi-almost Periodic Symbols. In: Bastos, M.A., Lebre, A.B., Speck, FO., Gohberg, I. (eds) Operator Algebras, Operator Theory and Applications. Operator Theory: Advances and Applications, vol 181. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8684-9_5

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