On weak convergence of measures on Hilbert spaces (Q1120887)

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scientific article; zbMATH DE number 4102162
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English
On weak convergence of measures on Hilbert spaces
scientific article; zbMATH DE number 4102162

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    On weak convergence of measures on Hilbert spaces (English)
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    1989
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    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 \(H_ s\).
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    weak convergence of measures
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    weak compactness
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