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

Abstract

We consider Toeplitz and Hankel operators with piecewise continuous generating functions on $l^p$-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.

References in corpus (1)

• Factorization of a class of Toeplitz + hankel operators and the A_p-condition