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

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

2011-12-14

arxiv.org/abs/1112.3140v1

Mathematics

Functional Analysis

Scientific paper

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.

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