On an abstract singular integral operator on a Banach algebra of continuous functions. (Spanish. English summary) Zbl 1080.47504
Summary: In this note we establish effective conditions for the Noether property for certain abstract singular integral operators acting in a Banach algebra of continuous functions and we obtain formulas for computing their indices. Solvability conditions for the associated inhomogeneous operator equation are obtained.
MSC:
47G10 | Integral operators |
45E05 | Integral equations with kernels of Cauchy type |
45P05 | Integral operators |
47A53 | (Semi-) Fredholm operators; index theories |