The r‐nuclearity (0 < r ≦ 1) of GAUSSian covariances

DOI10.1002/mana.19800950114zbMath0447.46039OpenAlexW2052667807MaRDI QIDQ3892777

Werner Linde, Thomas Kühn

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1002/mana.19800950114

zbMATH Keywords

typescript Lp spacecomposition of nuclear operatorsr-nuclearityGaussian covariance

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) 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)

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An operator ideal in connection with Gaussian measures and applications to nuclearity of integral operator, On the r-nuclearity of Gaussian covariances and the composition of nuclear operators, Unconditional convergence of functional series in problems of probability theory

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