The Ito Formula for Essentially Self-Adjoint Quantum Semimartingales

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dc.creatorVincent-Smith, G. F.
dc.date2000-12-19
dc.date.accessioned2026-07-07T04:39:18Z
dc.date.available2026-07-07T04:39:18Z
dc.descriptionThe quantum Ito formula has so far been proved for regular (bounded) quantum semimartingales We give three different extensions to classes of essentially self-adjoint (unbounded) quantum semimartingales. The first extension is to quantum semimartingales whose integrands have chaos matrices controlled by certain scalar matrices The second extension is to perturbations of classical, possibly unbounded, quantum semimartingales by bounded quantum semimartingales The third extension is obtained by perturbing an essentially self-adjoint quantum semimartingale satisfying the quantum Duhamel formula by a regular quantum semimartingle.
dc.identifierhttps://arxiv.org/abs/math/0012183
dc.identifierhttp://arxiv.org/abs/math/0012183
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60607
dc.subjectQuantum Algebra
dc.subjectFunctional Analysis
dc.subject81R15; 81Q10;46N50
dc.titleThe Ito Formula for Essentially Self-Adjoint Quantum Semimartingales
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