Characterization of Hilbert spaces by the strong law of large numbers

DOI10.1016/0047-259X(86)90025-4zbMath0606.60009MaRDI QIDQ1084740

Jun Kawabe

Publication date: 1986

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

zbMATH Keywords

law of large numbersrelative compactnesscovariance operatornuclear operatorsBanach space type

Mathematics Subject Classification ID

Probability theory on linear topological spaces (60B11) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (2)

Probabilistic characterization of certain Banach spaces ⋮ Strong laws of large numbers for generalizations of Fréchet mean sets

Cites Work

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• Conditional expectations and weak and strong compactness in spaces of Bochner integrable functions
• The law of large numbers and the central limit theorem in Banach spaces
• Characterization of Certain Classes of Banach Spaces by Properties of Gaussian Measures
• Isomorphic characterizations of inner product spaces by orthogonal series with vector valued coefficients
• Produits tensoriels topologiques et espaces nucléaires

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