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

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Author(s): Steffen Roch , Bernd Silbermann

Publication date Created: 14 December 2011

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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.

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Most cited references 8

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C∗-algebras generated by Hankel operators and Toeplitz operators

S.C Power (1979)

0 comments Cited 7 times – based on 0 reviews      Review now

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Invertibility theory for Toeplitz plus Hankel operators and singular integral operators with flip

Torsten Ehrhardt (2004)

0 comments Cited 6 times – based on 0 reviews      Review now

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Some Results on the Invertibility of Wiener-Hopf-Hankel Operators

A.B. Lebre, F.S. Teixeira, E. Meister (1992)

0 comments Cited 5 times – based on 0 reviews      Review now

Author and article information

Journal

Publication date Created: 14 December 2011

Article

ArXiV ID: 1112.3140

SO-VID: e8d8c95b-cf5c-4513-b0c6-8f7eb3fd0398

License:

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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Custom metadata

ACM classes 47B35, 47B48

Categories math.FA

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