Topological Solutions of Noncommutative Stochastic Differential Equations

DOI10.1080/07362990701540345zbMath1137.46038OpenAlexW2025582885MaRDI QIDQ5421604

G. O. S. Ekhaguere

Publication date: 24 October 2007

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362990701540345

zbMATH Keywords

quantum stochastic calculusquantum stochastic differential equationsItô calculuslocally convex operator topologiessemimartingale inequalities

Mathematics Subject Classification ID

Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Quantum stochastic calculus (81S25) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

Related Items (3)

Unnamed Item ⋮ Viable solutions of lower semicontinuous quantum stochastic differential inclusions ⋮ Nonlocal quantum stochastic differential equations with impulsive effects

Cites Work

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• Quantum Ito's formula and stochastic evolutions
• Quasi-free quantum stochastic integrals for the CAR and CCR
• A representation free quantum stochastic calculus
• Lipschitzian quantum stochastic differential inclusions
• Noncommutative mean ergodic theorem for partial \(W^*\)-dynamical semigroups
• Quantum stochastic calculus with maximal operator domains.
• Representation of completely positive maps between partial *-algebras
• Dirichlet forms on partial *-algebras
• Completely positive conjugate-bilinear maps on partial *-algebras
• Lagrangian Quadrature Schemes for Computing Weak Solutions of Quantum Stochastic Differential Equations
• Stochastic integral
• Algebraic representation theory of partial algebras.

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