Fredholm property of matrix Wiener-Hopf plus and minus Hankel operators with semi-almost periodic symbols

Downloads

DOI:

https://doi.org/10.4067/S0719-06462010000200014

Abstract

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 these Wiener-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
  • L. P. Castro Department of Mathematics, Aveiro University, 3810-193 Aveiro, Portugal.
  • A. S. Silva Department of Mathematics, Aveiro University, 3810-193 Aveiro, Portugal.
  • Pages: 217–234
  • Date Published: 2010-06-01
  • Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal

Downloads

Download data is not yet available.

Published

2010-06-01

How to Cite

[1]
L. P. Castro and A. S. Silva, “Fredholm property of matrix Wiener-Hopf plus and minus Hankel operators with semi-almost periodic symbols”, CUBO, vol. 12, no. 2, pp. 217–234, Jun. 2010.

Issue

Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal

Section

Articles