An integral is introduced for extended real-valued functions with respect to Riesz space-valued measures, and some Vitali-type theorems are demonstrated. Moreover, in this setting, some Schur-type theorems are deduced, in case the domain of the measure is the power set of the integers.
Vitali and Schur-type Theorems for Riesz-Space-Valued Set Functions
BOCCUTO, Antonio;CANDELORO, Domenico
2001
Abstract
An integral is introduced for extended real-valued functions with respect to Riesz space-valued measures, and some Vitali-type theorems are demonstrated. Moreover, in this setting, some Schur-type theorems are deduced, in case the domain of the measure is the power set of the integers.File in questo prodotto:
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