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Continuity of universally measurable linear maps

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Publication:1056864
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DOI10.1007/BF00973492zbMath0562.46003OpenAlexW2095171551MaRDI QIDQ1056864

M. P. Kats

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf00973492


zbMATH Keywords

Radon measureGaussian measureN-measurable mapultrabornological locally convex spaceuniversally measurable linear map


Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) 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) Probability theory on linear topological spaces (60B11)


Related Items (1)

Continuous affine support mappings for convex operators



Cites Work

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  • Gaussian measures in Banach spaces
  • Every Hilbert subspace of a Wiener space has measure zero
  • Sur des théorèmes de S. Banach et de L. Schwartz concernant le graphe fermé


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