Our main result is an infinitesimal characterization of Hilbert module module flows, not necessarily of inner type, in terms of stochastic derivations from the initial algebra into the Itô algebra. We prove that any such derivation is the difference of a *-homomorphism and the trivial embedding.
Accardi, L., Ayed, W., Ouerdiane, H. (2007). Module white noise calculus. RANDOM OPERATORS AND STOCHASTIC EQUATIONS, 15(4), 353-386 [10.1515 / ROSE.2007.002].
Module white noise calculus
ACCARDI, LUIGI;
2007-01-01
Abstract
Our main result is an infinitesimal characterization of Hilbert module module flows, not necessarily of inner type, in terms of stochastic derivations from the initial algebra into the Itô algebra. We prove that any such derivation is the difference of a *-homomorphism and the trivial embedding.File in questo prodotto:
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