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Boccuto, Antonio; Dimitriou, Xenofon; Papanastassiou, Nikolaos

Some versions of limit and Dieudonné-type theorems with respect to filter convergence for \((\ell )\)-group-valued measures. (English) Zbl 1227.26007

Cent. Eur. J. Math. 9, No. 6, 1298-1311 (2011).
Summary: Some limit and Dieudonné-type theorems in the setting of \((\ell )\)-groups with respect to filter convergence are proved, extending earlier results.

Cited in 6 Documents

MSC:

26B10 Implicit function theorems, Jacobians, transformations with several variables
28B05 Vector-valued set functions, measures and integrals

Keywords:

\((\ell)\)-group; Ideal; Filter; Ideal (filter) convergence; Regular measure; Limit theorem; Dieudonné theorem; Nikodým theorem; Vitali-Hahn-Saks theorem; Schur theorem
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Full Text: DOI

References:

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