Abstract

CASTRO, L. P  and  SILVA, A. S.. Fredholm Property of Matrix Wiener-Hopf plus and minus Hankel Operators with Semi-Almost Periodic Symbols. Cubo [online]. 2010, vol.12, n.2, pp. 217-234. ISSN 0719-0646.  doi: 10.4067/S0719-06462010000200014.

We will present sufficient conditions for the Fredholm property of Wiener-Hopf plus and minus Hankel operators with different Fourier matrix symbols in the C*-algebra of semialmost periodic elements. In addition, under such conditions, we will derive a formula for the sum of the Fredholm indices of theseWiener-Hopf plus Hankel and Wiener-Hopf minus Hankel operators. Some examples are provided to illustrate the results of the paper.

Keywords : Fredholm property; Fredholm index; Wiener-Hopf operator; Hankel operator; semi-almost periodic matrix-valued function.