%0 Journal Article
%T Fredholm and invertibility theory for a special class of Toeplitz + Hankel operators
%A Estelle L. Basor
%A Torsten Ehrhardt
%J Mathematics
%D 2011
%I arXiv
%X We develop a complete Fredholm and invertibility theory for Toeplitz+Hankel operators $T(a)+H(b)$ on the Hardy space $H^p$, $1<p<\infty$, with piecewise continuous functions $a,b$ defined on the unit circle which are subject to the condition $a(t)a(t^{-1})=b(t)b(t^{-1})$, $|t|=1$. In particular, in the case of Fredholmness, formulas for the defect numbers are established. The results are applied to several important examples.
%U http://arxiv.org/abs/1110.0577v1