On the compactness criterion for probability measures on Banach spaces

DOI10.3792/pjaa.61.337zbMath0587.60006OpenAlexW2052705993MaRDI QIDQ1072209

Jun Kawabe

Publication date: 1985

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.61.337

zbMATH Keywords

characteristic functionalProkhorov metricnuclear operatorstype and cotypecompactness criterion

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Probability theory on linear topological spaces (60B11)

Cites Work

• Probabilistic characterization of certain Banach spaces
• On the convergence of sums of independent Banach space valued random variables
• Harmonic Analysis on Certain Vector Spaces
• Isomorphic characterizations of inner product spaces by orthogonal series with vector valued coefficients
• Produits tensoriels topologiques et espaces nucléaires
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