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The characterization of differential operators by locality: abstract derivations

Published online by Cambridge University Press:  19 September 2008

C. J. K. Batty  and
D. W. Robinson
C. J. K. Batty
Affiliation:
Department of Mathematics, University of Edinburgh, King's Buildings, Edinburgh EH9 3JZ, Scotland
D. W. Robinson
Affiliation:
Department of Mathematics, Institute of Advanced Studies, Australian National University, GPO Box 4, Canberra, ACT 2601, Australia
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Abstract

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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 5 , Issue 2 , June 1985 , pp. 171 - 183
Copyright
Copyright © Cambridge University Press 1985

References

REFERENCES

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