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The characterization of differential operators by locality: abstract derivations
Published online by Cambridge University Press: 19 September 2008
Abstract
Let δ be a closed *-derivation on a commutative C*-algebra , suppose that
is dense in
for some n = 1, 2, …, ∞, and let
be a linear operator satisfying the locality condition
It is shown that , for some finite integer p≤n and functions lm on X. Estimates on the coefficients lm are obtained and applied to flows and local flows.
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