The Fredholm index of locally compact band-dominated operators on $L^p (R)$

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/111465We establish a necessary and sufficient criterion for the Fredholmness of a general locally compact band-dominated operator $A$ on $L^p(R)$ and solve the long-standing problem of computing its Fredholm index in terms of the limit operators of $A$. The results are applied to operators of convolution type with almost periodic symbol.Functional Analysis47A53; 47G10, 47E10The Fredholm index of locally compact band-dominated operators on $L^p (R)$text