Smoothness conditions on measures using Wallman spaces
type: Item
instance of: scholarly article
title: Smoothness conditions on measures using Wallman spaces
zbMATH Open document ID: 0959.28001
DOI: 10.1155/S0161171299227135
author: Charles Traina
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2001-04-20T00:00:00Z
full work available at URL: https://eudml.org/doc/48691
review text: The following question is considered, using Wallman spaces: Let \(\mu \) be a nonnegative finite valued, nontrivial, finitely additive and bounded measure on the algebra generated by a lattice \(\mathcal{L}\) of subsets of an arbitrary nonempty set \(X,\) with \(X \in \) \(\mathcal{L}\). How do properties of \(\overline{\mu }\) (\(\overline{\mu }(W(A))=\mu (A)\)) imply properties (\(\sigma \)-smoothness on \(\mathcal{L}\), strongly \(\sigma \)-smoothness on \(\mathcal{L}\), countably additivity) of \(\mu\) ?
Mathematics Subject Classification ID: 28A12
Mathematics Subject Classification ID: 28C15
zbMATH DE Number: 1417970
zbMATH Keywords: Wallman space
zbMATH Keywords: lattice
zbMATH Keywords: countably additive measure
zbMATH Keywords: smoothness
reviewed by: P. Jiménez Guerra
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1417970