Natural processes and Doob-Meyer decompositions over a probability gage space

DOI10.1016/0022-1236(84)90046-6zbMath0552.46032OpenAlexW2066221280MaRDI QIDQ801519

Ivan F. Wilde, Christopher Barnett

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0022-1236(84)90046-6

zbMATH Keywords

Doob-Meyer decompositionregular processesClifford probability gage spacesfaithful normal probability tracenon-commutative generalization of natural processes

Mathematics Subject Classification ID

Generalizations of martingales (60G48) Free probability and free operator algebras (46L54) Noncommutative dynamical systems (46L55) Applications of selfadjoint operator algebras to physics (46L60) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51)

Related Items (1)

Random Times and Time Projections

Cites Work

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• Quasi-free quantum stochastic integrals for the CAR and CCR
• The Ito-Clifford integral
• Correction to A non-commutative extension of abstract integration
• A general bilinear vector integral
• Stochastic integrals in an arbitrary probability gauge space
• Supermartingales on Semifinite Von Neumann Algebras
• Non-commutative L^P-spaces

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