On some properties of k-subadditive lattice group-valued capacities-Reference-Cited by-同舟云学术

On some properties of k-subadditive lattice group-valued capacities

Published:2017-11-01 Issue:6 Volume:67 Page:1387-1408
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Barbieri Giuseppina¹,Boccuto Antonio²

Affiliation:

1. Dipartimento di Matematica Università degli Studi di Salerno 132, via Giovanni Paolo II I-84084 Fisciano (SA) Italy

2. Dipartimento di Matematica e Informatica University of Perugia 1, Via Vanvitelli I-06123 Perugia Italy

Abstract

Abstract We investigate some properties of (uniformly) absolutely continuous, singular and non-concentrated k-subadditive lattice group-valued capacities, and we examine some relations between them. Furthermore, we pose some open problems.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0059/pdf

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3. Barbieri, G.—Boccuto, A.: On extensions of k-subadditive lattice group-valued capacities, Ital. J. Pure Appl. Math. 38 (2016), 387–408.

4. Barbieri, G.— Valente, A.—Weber, H.: Decomposition of (ℓ)-group-valued measures, Czechoslovak Math. J. 62(137) (2012), 1085–1100.10.1007/s10587-012-0065-y

5. Boccuto, A.—Candeloro, D.: Uniform (s)-boundedness and convergence results for measures with values in complete (ℓ)-groups, J. Math. Anal. Appl. 265 (2002), 170–194.10.1006/jmaa.2001.7715

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