Dilation theorems for positive definite operator kernels having majorants

DOI10.1016/0022-1236(81)90072-0zbMath0451.60041OpenAlexW1965797444MaRDI QIDQ1148059

Aleksander Weron, Hannu Niemi

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0022-1236(81)90072-0

zbMATH Keywords

positive definite kernelsdilationsboundedness condition

Mathematics Subject Classification ID

General second-order stochastic processes (60G12) Probability theory on linear topological spaces (60B11)

Related Items (4)

Weyl-Schrödinger representations of Heisenberg groups in infinite dimensions ⋮ Closed range positive operators on Banach spaces ⋮ Positive definite functions and dual pairs of locally convex spaces ⋮ Generalized Toeplitz kernels, stationarity and harmonizability

Cites Work

• Dilations of Banach space operator valued functions
• Aronszajn-Kolmogorov type theorems for positive definite kernels in locally convex spaces
• On the linear prediction problem of certain non-stationary stochastic processes.
• On orthogonally scattered dilations of bounded vector measures
• Dilations as Propagators of Hilbertian Varieties
• Characterization of Fourier-Stieltjes transforms of vector and operator valued measures
• Theory of Reproducing Kernels
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