Measurable linear transformations on abstract Wiener spaces

DOI10.1016/0047-259X(77)90073-2zbMath0387.28017OpenAlexW2128885883MaRDI QIDQ1250311

E. Robert Fernholz

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1016/0047-259x(77)90073-2

Mathematics Subject Classification ID

Gaussian processes (60G15) Probability measures on topological spaces (60B05) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30)

Cites Work

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• Some results of probability measures on linear topological vector spaces with an application to Strassen's log log law
• Absolute continuity for abstract Wiener spaces
• Subgroups of paths and reproducing kernels
• Factorization of Radonifying transformations
• On the convergence of sums of independent Banach space valued random variables
• Abstract Wiener spaces and applications to analysis
• On seminorms and probabilities, and abstract Wiener spaces
• Séminaire sur les fonctions aléatoires linéaires et les mesures cylindriques
• Measurable Functions on Hilbert Space
• Gaussian Measure on a Banach Space and Abstract Winer Measure

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