Markovian cocycles on operator algebras adapted to a Fock filtration

DOI10.1006/jfan.2000.3658zbMath0969.60066OpenAlexW2025799267MaRDI QIDQ1840574

J. Martin Lindsay, Stephen J. Wills

Publication date: 23 September 2001

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

Full work available at URL: https://semanticscholar.org/paper/3add5c4d4f79881e54688b015a2fa4e76c10afd9

zbMATH Keywords

completely boundedcompletely positivestochastic flowquantum Markov semigroupFeller propertyMarkovian cocycle

Mathematics Subject Classification ID

Applications of selfadjoint operator algebras to physics (46L60) Quantum stochastic calculus (81S25) Stochastic analysis (60H99)

Related Items (17)

Strong convergence of quantum random walks via semigroup decomposition ⋮ Stochastic integral representations of quantum martingales on multiple Fock space ⋮ Construction of some quantum stochastic operator cocycles by the semigroup method ⋮ Quantum stochastic cocycles and completely bounded semigroups on operator spaces. II ⋮ On quantum stochastic differential equations ⋮ Quantum stochastic convolution cocycles. III ⋮ Quantum stochastic convolution cocycles. II ⋮ DILATION OF ARBITRARY SYMMETRIC QUANTUM DYNAMICAL SEMIGROUPS ON $B({\mathcal H})$ ⋮ Dilations of contraction cocycles and cocycle perturbations of the translation group of the line ⋮ An algebraic construction of quantum flows with unbounded generators ⋮ FEYNMAN–KAC REPRESENTATION AND MARKOV PROPERTY OF SEMIGROUPS GENERATED BY NONCOMMUTATIVE ELLIPTIC OPERATORS ⋮ A quantum stochastic Lie-Trotter product formula ⋮ Completely positive quantum stochastic convolution cocycles and their dilations ⋮ Characterization of unitary processes with independent and stationary increments ⋮ Minimal isometric dilations of operator cocycles ⋮ Unitary processes with independent increments and representations of Hilbert tensor algebras ⋮ Solving quantum stochastic differential equations with unbounded coefficients

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