ON EXTENSIONS OF k-SUBADDITIVE LATTICE GROUP-VALUED CAPACITIES

Authors

  • G. Barbieri University of Udine - Dipartimento di Matematica e Informatica
  • A. Boccuto University of Perugia - Dipartimento di Matematica e Informatica

Keywords:

lattice group, capacity, k-subadditivity, continuity from above, continuity from below, (s)-boundedness, extension

Abstract

We prove some theorems on extension of lattice group-valued k-subadditive monotone set functions, continuous and (s)-bounded with respect to a single regulator.  Furthermore, we pose some open problems.

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Published

2017-01-31

How to Cite

Barbieri, G., & Boccuto, A. (2017). ON EXTENSIONS OF k-SUBADDITIVE LATTICE GROUP-VALUED CAPACITIES. Italian Journal of Pure and Applied Mathematics, 37, 387 –408. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6697

Issue

Section

Articoli - Forum Editrice

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