The Ward and Perron integrals with respect to an abstract derivation basis for Riesz space-valued functions are introduced. Some fundamental properties of these integrals are investigated. It is shown that they are equivalent to the Kurzweil-Henstock integral. In the context of Riesz spaces, we use a global derivative, in which we deal with a common order sequence. Moreover some properties of major and minor functions in the setting of Riesz spaces are studied.
The Ward, Perron and Henstock-Kurzweil integrals with respect to abstract derivation bases in Riesz spaces
BOCCUTO, Antonio;
2006
Abstract
The Ward and Perron integrals with respect to an abstract derivation basis for Riesz space-valued functions are introduced. Some fundamental properties of these integrals are investigated. It is shown that they are equivalent to the Kurzweil-Henstock integral. In the context of Riesz spaces, we use a global derivative, in which we deal with a common order sequence. Moreover some properties of major and minor functions in the setting of Riesz spaces are studied.File in questo prodotto:
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