Elements of the theory of linear Volterra operators in Banach spaces (Q2642725)

In [J.~Nonlinear Convex Anal.\ 6, No.\,3, 375--391 (2005; Zbl 1097.47033)], the author and \textit{M.\,Drakhlin} gave a new definition for Volterra operators on abstract spaces based on the notion of memory of an operator. The paper under review continues the investigation of these operators. The author considers the correct and normal solvability of linear equations with Volterra operators. Some results on the properties of the initial and conjugate equations with Volterra operators are established. She gives some conditions under which a linear equation with Volterra operators is Fredholm.