On weak convergence of measures on Hilbert spaces
type: Item
instance of: scholarly article
title: On weak convergence of measures on Hilbert spaces
zbMATH Open document ID: 0673.60004
DOI: 10.1016/0047-259X(89)90026-2
author: Milan Merkle
published in: Journal of Multivariate Analysis
publication date: 1989-01-01T00:00:00Z
review text: The paper considers the relationship between the weak convergence of measures on a separable Hilbert space H equipped with the \(w^*\)- and strong topology (denoted respectively by \(H_ w\) and \(H_ s)\). Assuming the weak convergence (weak compactness) of measures in \(H_ w\), conditions are shown necessary to ensure weak convergence (weak compactness) in \(H_ s\).
Mathematics Subject Classification ID: 60B10
Mathematics Subject Classification ID: 60B05
Mathematics Subject Classification ID: 28A20
Mathematics Subject Classification ID: 60B12
zbMATH DE Number: 4102162
zbMATH Keywords: weak convergence of measures
zbMATH Keywords: weak compactness
MaRDI profile type: Publication
cites work: Q5560061
cites work: Q3672820
cites work: Q5533878
cites work: Q3264499
cites work: Q5531123
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description: scientific article; zbMATH DE number 4102162