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Barnett, C.; Streater, R. F.; Wilde, I. F.

The Ito-Clifford integral. (English) Zbl 0492.46051

J. Funct. Anal. 48, 172-212 (1982).
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Cited in 11 Reviews
Cited in 63 Documents

MSC:

46L60 Applications of selfadjoint operator algebras to physics
46L51 Noncommutative measure and integration
46L53 Noncommutative probability and statistics
46L54 Free probability and free operator algebras
15A60 Norms of matrices, numerical range, applications of functional analysis to matrix theory
82B10 Quantum equilibrium statistical mechanics (general)
46L35 Classifications of \(C^*\)-algebras

Keywords:

quantum noise; integral of anticommuting elements analogous to the Ito integral for Brownian motion; Fock representation of the Fermi field; representation of the Clifford algebra; non-commutative Lp spaces; conditional expectations; martingales; stochastic integral; Doob-Meyer decomposition
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References:

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