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. (2010). Primary 46G10, Secondary 28B05.
Mathematics Subject Classification
The goal of this note is to present a construction of bornological product measures and prove a Fubini-type theorem for them.
Mathematics Subject Classification (2000). Primary 46G10; Secondary 28B05.
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