Some Schur, Nikodym, Brooks-Jewett and Vitali-Hahn-Saks-type theorems for l-group-valued measures are proved in the setting of filter convergence. Using some properties of diagonal and block-respecting filters, we reconduct the filter setting to a context similar to the classical one, and we use tools similar to the ones used in the classical case, in order to prove our main results.
Schur lemma and limit theorems in lattice groups with respect to filters
BOCCUTO, Antonio;
2012
Abstract
Some Schur, Nikodym, Brooks-Jewett and Vitali-Hahn-Saks-type theorems for l-group-valued measures are proved in the setting of filter convergence. Using some properties of diagonal and block-respecting filters, we reconduct the filter setting to a context similar to the classical one, and we use tools similar to the ones used in the classical case, in order to prove our main results.File in questo prodotto:
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