Uniform (s)-boundedness and regularity for (l)-group-valued measures
Antonio Boccuto, Domenico Candeloro (2011)
Open Mathematics
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Some new results about uniform (s)-boundedness for regular (l)-group-valued set functions are given.
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Displaying similar documents to “Some new results about Brooks-Jewett and Dieudonné-type theorems in -groups”
Uniform (s)-boundedness and regularity for (l)-group-valued measures
-statistically convergent function sequences
Oktay Duman, Cihan Orhan (2004)
Czechoslovak Mathematical Journal
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In the present paper we are concerned with convergence in -density and -statistical convergence of sequences of functions defined on a subset of real numbers, where is a finitely additive measure. Particularly, we introduce the concepts of -statistical uniform convergence and -statistical pointwise convergence, and observe that -statistical uniform convergence inherits the basic properties of uniform convergence.
Some versions of limit and Dieudonné-type theorems with respect to filter convergence for (ℓ)-group-valued measures
Antonio Boccuto, Xenofon Dimitriou, Nikolaos Papanastassiou (2011)
Open Mathematics
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Some limit and Dieudonné-type theorems in the setting of (ℓ)-groups with respect to filter convergence are proved, extending earlier results.
Spaces not distinguishing convergences
Miroslav Repický (2000)
Commentationes Mathematicae Universitatis Carolinae
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In the present paper we introduce a convergence condition and continue the study of “not distinguish” for various kinds of convergence of sequences of real functions on a topological space started in [2] and [3]. We compute cardinal invariants associated with introduced properties of spaces.
Spaces not distinguishing convergences.
Repický, Miroslav (2000)
Commentationes Mathematicae Universitatis Carolinae
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