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Stochastic basis in Fréchet space

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Publication:1074059
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DOI10.1007/BF01457222zbMath0589.46004OpenAlexW2000936295MaRDI QIDQ1074059

Yoshiaki Okazaki

Publication date: 1986

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164105


zbMATH Keywords

Schauder basisFréchet spacebiorthogonal sequencestochastic basisRadon probabilityBanach supportGaussian Radon measurestochastically indenpendent continuous linear functionals


Mathematics Subject Classification ID

Measures and integration on abstract linear spaces (46G12) Locally convex Fréchet spaces and (DF)-spaces (46A04) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Summability and bases in topological vector spaces (46A35)


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On approximation of measures by their finite-dimensional images ⋮ Continuous restrictions of measurable linear operators ⋮ Bayesian inversion of a diffusion model with application to biology



Cites Work

  • Some results of probability measures on linear topological vector spaces with an application to Strassen's log log law
  • Gaussian measures in Banach spaces
  • STOCHASTIC BASES IN FRECHÉT SPACES
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