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Cafiero and Brooks–Jewett theorems for Vitali spaces

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Abstract

We introduce a common generalization of Boolean rings and lattice ordered groups called Vitali spaces and we give a version of Cafiero and Brooks–Jewett convergence Theorems for additive functions defined in a Vitali space with values in a Hausdorff commutative topological group.

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Authors and Affiliations

  1. Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Università di Napoli Federico II, via Cintia, Complesso Monte S. Angelo, 80126, Napoli, Italy

    Flavia Ventriglia

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  1. Flavia Ventriglia
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Correspondence to Flavia Ventriglia.

Additional information

Communicated by P. de Lucia.

This article was supported by MURST, project “Analisi Reale” and by GNAMPA of Istituto Nazionale di Alta Matematica.

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Ventriglia, F. Cafiero and Brooks–Jewett theorems for Vitali spaces. Ricerche mat. 56, 209–216 (2007). https://doi.org/10.1007/s11587-007-0014-5

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  • DOI: https://doi.org/10.1007/s11587-007-0014-5

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