On Integrable Functions in Complete Bornological Locally Convex Spaces

A Lebesgue-type integration theory in complete bornological locally convex topological vector spaces was introduced by the first author in 17]. In this paper we continue developing this integration technique and formulate and prove some theorems on integrable functions as well as some convergence theorems. An example of Dobrakov integral in non-metrizable complete bornological locally convex spaces is given.