Markov operators and OS-positive processes

DOI10.1016/0022-1236(86)90071-6zbMath0615.47024OpenAlexW2058307027MaRDI QIDQ1820410

William Arveson

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)90071-6

zbMATH Keywords

Markov processMarkov operatortracial stateGNS representationfull Markov systemOS-processesOsterwalder-Schrader positive processesrectangular doubly stochastic matrices

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) General theory of (C^*)-algebras (46L05) Linear operators on function spaces (general) (47B38)

Related Items (6)

Extremality and factorizability of Markov operators ⋮ Spectral Theory for Gaussian Processes: Reproducing Kernels, Boundaries, and L²-Wavelet Generators with Fractional Scales ⋮ Unbounded graph-Laplacians in energy space, and their extensions ⋮ A universal envelope for Gaussian processes and their kernels ⋮ Reflection positivity, duality, and spectral theory ⋮ The Role of Transfer Operators and Shifts in the Study of Fractals: Encoding-Models, Analysis and Geometry, Commutative and Non-commutative

Cites Work

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• The adjoint Markoff process
• Stochastic processes associated with KMS states
• Operator algebras and invariant subspaces
• A generalization of Markov processes
• The semigroup characterization of Osterwalder-Schrader path spaces and the construction of Euclidean fields
• The free Markoff field
• Axioms for Euclidean Green's functions
• Subalgebras of \(C^ *\)-algebras
• Transformations in Wiener space and squares of quantum fields
• Gaussian OS-positive processes
• Positive Functions on C ∗ -Algebras

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