Linear Operators and Equations with Partial Integrals
Journal: Contemporary Mathematics Fundamental Directions
Year: 2019

We consider linear operators and equations with partial integrals in Banach ideal spaces, spaces of vector functions, and spaces of continuous functions. We study the action, regularity, duality, algebras, Fredholm properties, invertibility, and spectral properties of such operators. We describe principal properties of linear equations with partial integrals. We show that such equations are essentially diﬀerent compared to usual integral equations. We obtain conditions for the Fredholm alternati