Compact derivations relative to semifinite von Neumann algebras |
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| Authors: | Victor Kaftal Gary Weiss |
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| Institution: | Department of Mathematical Sciences, University of Cincinnati, Cincinnati, Ohio 45221 USA |
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| Abstract: | A non-commutative theory of stochastic integration is constructed in which the integrators are the components of the quantum Brownian motion with non-unit variance. Unlike the unit variance (Fock) case, there is a Kunita-Watanabe type representation theorem for processes which are martingales with respect to the generated filtration. |
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