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Some new results on Dieudonné-type theorems for k-triangular lattice group-valued set functions

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Abstract

Using the Maeda–Ogasawara–Vulikh representation theorem and sliding hump-type techniques, we prove some Dieudonné-type theorems for k-triangular set functions, taking values in lattice groups.

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Authors and Affiliations

  1. Dipartimento di Matematica e Informatica, University of Perugia, via L. Vanvitelli, 1, 06123, Perugia, Italy

    A. Boccuto

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  1. A. Boccuto
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Correspondence to A. Boccuto.

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Dedicated to the loving memory of Prof. Domenico Candeloro.

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This research was partially supported by University of Perugia, the G. N. A. M. P. A. (the Italian National Group of Mathematical Analysis, Probability and Applications) and the projects “Ricerca di Base 2017” (Metodi di Teoria dell’Approssimazione e di Analisi Reale per problemi di approssimazione ed applicazioni), “Ricerca di Base 2018” (Metodi di Teoria dell’Approssimazione, Analisi Reale, Analisi Nonlineare e loro applicazioni) and “Ricerca di Base 2019” (Metodi di approssimazione, misure, analisi funzionale, statistica e applicazioni alla ricostruzione di immagini e documenti)

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Boccuto, A. Some new results on Dieudonné-type theorems for k-triangular lattice group-valued set functions. Boll Unione Mat Ital 13, 495–502 (2020). https://doi.org/10.1007/s40574-020-00227-8

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  • DOI: https://doi.org/10.1007/s40574-020-00227-8

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