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

preprint2011arXivOpen access

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.

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