Accessible cylindrical measure and Bochner's theorem
DOI10.1016/0022-1236(86)90046-7zbMath0589.46035OpenAlexW1967225741MaRDI QIDQ1074065
Yoshiaki Okazaki, Yasuji Takahashi
Publication date: 1986
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-1236(86)90046-7
measurekernelmetric approximation propertyBochner problem on a locally convex space admitting an accessibleBochner problem on a locally convex space admitting an accessible measurecompletely summingcontinuous positive-definite functionfinitely additive cylindrical meaureXia's inequality
Measures and integration on abstract linear spaces (46G12) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Probability theory on linear topological spaces (60B11)
Cites Work
- Nuclear subspace of \(L^ 0\) and the kernel of a linear measure
- Remarks on Xia's inequality and Chevet's inequality concerned with cylindrical measures
- Accessible cylindrical measures on locally convex spaces
- Partially admissible shifts on linear topological spaces
- Bochner's theorem on measurable linear functionals of a Gaussian measure
- Gaussian measurable dual and Bochner's theorem
- Bochner-Minlos' theorem on infinite dimensional spaces
- Séminaire sur les fonctions aléatoires linéaires et les mesures cylindriques
- BOCHNER PROBLEM ON A TOPOLOGICAL VECTOR SPACE WITH A QUASI-INVARIANT MEASURE-CHAPTER I
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