Products of lower densities
type: Item
instance of: scholarly article
title: Products of lower densities
zbMATH Open document ID: 0816.28006
DOI: 10.4171/ZAA/660
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1995-06-21T00:00:00Z
review text: Summary: We prove the existence of product-lower densities for products of arbitrary families of (possibly incomplete) probability spaces, thus generalizing the corresponding results for finite products. The proofs are based on permanence results for lower densities under projective limits of probability spaces. Relying on work of Grekas we discuss in particular Haar measures on compact groups.
Mathematics Subject Classification ID: 28A51
Mathematics Subject Classification ID: 60B05
Mathematics Subject Classification ID: 60B15
Mathematics Subject Classification ID: 28C10
Mathematics Subject Classification ID: 43A05
zbMATH DE Number: 739091
zbMATH Keywords: product lifting
zbMATH Keywords: non-complete probability spaces
zbMATH Keywords: product measures
zbMATH Keywords: product-lower densities
zbMATH Keywords: lower densities
zbMATH Keywords: Haar measures
author: Nikolaos Demetrios Macheras
author: Werner Strauß
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.4171/zaa/660
OpenAlex ID: W1975027973
description: scientific article; zbMATH DE number 739091