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. We extend earlier results, proved in the Riesz space context in less abstract approaches.
A Hake-type theorem for integrals with respect to abstract derivation bases in the Riesz space setting
BOCCUTO, Antonio
;
2015
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. We extend earlier results, proved in the Riesz space context in less abstract approaches.File in questo prodotto:
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