Probabilistic characterization of certain Banach spaces

DOI10.2996/kmj/1138037151zbMath0595.46020OpenAlexW2044805966MaRDI QIDQ1077673

Jun Kawabe

Publication date: 1986

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138037151

zbMATH Keywords

Banach spacecotypeapproximation propertynuclear operatorconvergence in probabilitytype 2mean square convergence for random elements with values in amean square convergence for random elements with values in a Banach spacenuclear norm.uniform tightness covariance operator

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Measures and integration on abstract linear spaces (46G12) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (1)

On the compactness criterion for probability measures on Banach spaces

Cites Work

• Characterization of Hilbert spaces by the strong law of large numbers
• On the convergence of sums of independent Banach space valued random variables
• Weak compactness in an operator space
• Isomorphic characterizations of inner product spaces by orthogonal series with vector valued coefficients
• Produits tensoriels topologiques et espaces nucléaires
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Probabilistic characterization of certain Banach spaces