Some versions of Schur and Nikodym convergence-type theorems for Riesz space-valued countably additive measures with respect to the (r)-convergence are given. The concept of sigma-additive measure is formulated similarly as in the classical case (not with respect to a common unit), while the notion of pointwise convergence of the involved measures is given with respect to a same unit.
Schur and Nikodym convergence-type theorems in Riesz spaces with respect to the (r)-convergence
BOCCUTO, Antonio;
2007
Abstract
Some versions of Schur and Nikodym convergence-type theorems for Riesz space-valued countably additive measures with respect to the (r)-convergence are given. The concept of sigma-additive measure is formulated similarly as in the classical case (not with respect to a common unit), while the notion of pointwise convergence of the involved measures is given with respect to a same unit.File in questo prodotto:
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