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Asymptotically exhaustive functions in Vitali spaces

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Abstract

We introduce asymptotically exhaustive functions defined on Vitali Spaces with values in a Hausdorff commutative topological group and we prove for them some classical convergence theorems.

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Authors and Affiliations

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

    Flavia Ventriglia

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  1. Flavia Ventriglia
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Correspondence to Flavia Ventriglia.

Additional information

This article was supported by MURST, project “Analisi Reale”

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Ventriglia, F. Asymptotically exhaustive functions in Vitali spaces. Rend. Circ. Mat. Palermo 57, 203–212 (2008). https://doi.org/10.1007/s12215-008-0014-7

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  • DOI: https://doi.org/10.1007/s12215-008-0014-7

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