On Drewnowski lemma for non-additive functions and its consequences
type: Item
instance of: scholarly article
title: On Drewnowski lemma for non-additive functions and its consequences
zbMATH Open document ID: 1198.06007
author: Paola Cavaliere
author: Paolo De Lucia
author: Flavia Ventriglia
published in: Positivity
publication date: 2010-04-13T00:00:00Z
review text: The authors extend the \textit{L. Drewnowski} lemma [Bull. Acad. Pol. Sci., Sér. Sci. Math. Astron. Phys. 20, 725--731 (1972; Zbl 0243.28011)] to non-additive functions defined on an orthomodular lattice with the subsequential interpolation property and with values in a uniform space induced by a complete metric. As a consequence, Brooks-Jewett and Cafiero theorems are proved in this context.
reviewed by: Josef Tkadlec
Mathematics Subject Classification ID: 06C15
Mathematics Subject Classification ID: 28A12
zbMATH DE Number: 5692396
zbMATH Keywords: orthomodular lattice
zbMATH Keywords: subsequential interpolation property
zbMATH Keywords: non-additive content
zbMATH Keywords: convergence theorems
MaRDI profile type: Publication
full work available at URL: s11117-008-0001-4
OpenAlex ID: W2042630702
Wikidata QID: Q124867115
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DOI: 10.1007/S11117-008-0001-4
description: scientific article; zbMATH DE number 5692396