A notion of convergence in Riesz spaces is given axiomatically. A Bochner-type integral for Riesz space-valued functions is introduced and some Vitali and Lebesgue dominated convergence theorems are established. Some properties and examples are given and investigated.
Integral and Ideals in Riesz Spaces
BOCCUTO, Antonio;CANDELORO, Domenico
2009
Abstract
A notion of convergence in Riesz spaces is given axiomatically. A Bochner-type integral for Riesz space-valued functions is introduced and some Vitali and Lebesgue dominated convergence theorems are established. Some properties and examples are given and investigated.File in questo prodotto:
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