Some examples and the connection between cylindrical measures and measurable norms.

DOI10.1016/j.jmaa.2003.09.013zbMath1038.28011OpenAlexW2024238707MaRDI QIDQ1419734

Keiko Harai, Michie Maeda, Rika Hagihara

Publication date: 26 January 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.09.013

zbMATH Keywords

measurable normscylindrical measures

Mathematics Subject Classification ID

Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Cites Work

• Some examples of measurable norms
• Generalized rotationally quasi-invariant cylindrical measures
• Mesures cylindriques, espaces de Wiener et fonctions aléatoires gaussiennes
• On seminorms and probabilities, and abstract Wiener spaces
• Gaussian Measures on Function Spaces
• Measurable Functions on Hilbert Space

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