English

A handy formula for the Fredholm index of Toeplitz plus Hankel operators

Functional Analysis 2011-12-15 v1

Abstract

We consider Toeplitz and Hankel operators with piecewise continuous generating functions on lpl^p-spaces and the Banach algebra generated by them. The goal of this paper is to provide a transparent symbol calculus for the Fredholm property and a handy formula for the Fredholm index for operators in this algebra.

Keywords

Cite

@article{arxiv.1112.3140,
  title  = {A handy formula for the Fredholm index of Toeplitz plus Hankel operators},
  author = {Steffen Roch and Bernd Silbermann},
  journal= {arXiv preprint arXiv:1112.3140},
  year   = {2011}
}