The space of Denjoy-Dunford integrable functions is ultrabornological
Copyright policy )The space of Denjoy-Dunford integrable functions is ultrabornological
Let X be a Banach space. We prove that the normed and non-complete space of all functions f : [a, b] → X which are integrable in the sense of DenjoyDunford (introduced by Gordon in 1989) is ultrabornological.
- University of Seville Spain
ultrabornological, Denjoy and Perron integrals, other special integrals, Denjoy-Dunford integrable functions, ultrabornological spaces, 46E40, 26A39, Barrelled spaces, bornological spaces, Spaces of vector- and operator-valued functions, Denjoy integrals, vector-valued integralsv, 46A08, Vector-valued set functions, measures and integrals, Vector-valued measures and integration, 46E10, 46G10
ultrabornological, Denjoy and Perron integrals, other special integrals, Denjoy-Dunford integrable functions, ultrabornological spaces, 46E40, 26A39, Barrelled spaces, bornological spaces, Spaces of vector- and operator-valued functions, Denjoy integrals, vector-valued integralsv, 46A08, Vector-valued set functions, measures and integrals, Vector-valued measures and integration, 46E10, 46G10
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