We develop a complete Fredholm and invertibility theory for Toeplitz+Hankel operators on the Hardy space , , with piecewise continuous functions defined on the unit circle which are subject to the condition , . In particular, in the case of Fredholmness, formulas for the defect numbers are established. The results are applied to several important examples.
Cite this article
Estelle L. Basor, Torsten Ehrhardt, Fredholm and invertibility theory for a special class of Toeplitz + Hankel operators. J. Spectr. Theory 3 (2013), no. 2, pp. 171–214DOI 10.4171/JST/42