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The operator-valued Feynman-Kac formula with noncommutative operators

โœ Scribed by John W Hagood


Book ID
107794844
Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
968 KB
Volume
38
Category
Article
ISSN
0022-1236

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Feynmanโ€“Kac Representation of Some Nonco
โœ J.Martin Lindsay; Kalyan B. Sinha ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 375 KB

Gaussian averages of automorphisms of a von Neumannn algebra yield Markov semigroups by the well-known procedure of subordination. We construct operatorvalued martingales to realise perturbations of such semigroups through Feynman Kac formulae. The perturbations are noncommutative vector fields, and