The characterization of differential operators by locality: abstract derivations
نویسندگان
چکیده
Let S be a closed *-derivation on a commutative C*-algebra M, suppose that ^ n = f l l = , D(8 ) is dense in si for some n = 1, 2 , . . . , oo, and let H:$4n^>si be a linear operator satisfying the locality condition supp(H/)cSupp(/), festn. It is shown that H =JJ p m=0 lm8 m on s£2m 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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