On Integrable Functions in Complete Bornological Locally Convex Spaces |
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Authors: | Ján Halu?ka Ondrej Hutník |
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Affiliation: | (1) FB IV - Mathematik, Universität Trier, Universitätsring 15, 54286 Trier, Germany |
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Abstract: | 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. |
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