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.
2015
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1082265
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