The characterization of differential operators by locality: abstract derivations

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 pn and functions lm on X. Estimates on the coefficients lm are obtained and applied to flows and local flows.

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