A Kurzweil-Henstock type integral with respect to an abstract derivation basis in a topological measure space, for Riesz space-valued functions, is studied. A Hake-type theorem is proved for this integral, by using technical properties of Riesz spaces.
Boccuto, A., Skvortsov, V., Tulone, F. (2015). A Hake-Type Theorem for Integrals with Respect to Abstract Derivation Bases in the Riesz Space Setting. MATHEMATICA SLOVACA, 65(6), 1319-1336 [10.1515/ms-2015-0092].
A Hake-Type Theorem for Integrals with Respect to Abstract Derivation Bases in the Riesz Space Setting
TULONE, Francesco
2015-01-01
Abstract
A Kurzweil-Henstock type integral with respect to an abstract derivation basis in a topological measure space, for Riesz space-valued functions, is studied. A Hake-type theorem is proved for this integral, by using technical properties of Riesz spaces.
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