The characterization of differential operators by locality : classical flows
Compositio Mathematica, Volume 58 (1986) no. 3, p. 279-319
@article{CM_1986__58_3_279_0,
     author = {Bratteli, Ola and Elliott, George A. and Robinson, Derek W.},
     title = {The characterization of differential operators by locality : classical flows},
     journal = {Compositio Mathematica},
     publisher = {Martinus Nijhoff Publishers},
     volume = {58},
     number = {3},
     year = {1986},
     pages = {279-319},
     zbl = {0606.47048},
     mrnumber = {846908},
     language = {en},
     url = {http://www.numdam.org/item/CM_1986__58_3_279_0}
}
Bratteli, Ola; Elliott, George A.; Robinson, Derek W. The characterization of differential operators by locality : classical flows. Compositio Mathematica, Volume 58 (1986) no. 3, pp. 279-319. http://www.numdam.org/item/CM_1986__58_3_279_0/

[1] C.J.K. Batty: Derivations on compact spaces. Proc. London Math. Soc. 42 (1981) 299-330. | MR 607305 | Zbl 0403.46046

[2] C.J.K. Batty: Local operators on C*-algebras. Edinburgh preprint (1983).

[3] C.J.K. Batty: Derivations of abelian C*-algebras. Proceedings of Symposia in Pure Mathematics, 38 (1982), Part 2, 333-338. | MR 679519 | Zbl 0498.46037

[4] C. Berg and G. Forst: Potential Theory on Locally Compact Abelian Groups. Springer-Verlag, Berlin-Heidelberg- New York (1975). | MR 481057 | Zbl 0308.31001

[5] O. Bratteli, T. Digernes and G.A. Elliott: Locality and differential operators on C*-algebras, II. Operator Algebras and their Connections with Topology and Ergodic Theory, Lecture Notes in Math. 1132, Springer-Verlag, Berlin-Heidelberg-New York (1985) 46-83. | MR 799563 | Zbl 0568.46051

[6] O. Bratteli, T. Digernes and D.W. Robinson: Relative locality of derivations. J. Funct. Anal. 59 (1984) 12-40. | MR 763775 | Zbl 0548.46049

[7] O. Bratteli, G.A. Elliott and D.E. Evans: Locality and differential operators on C*-algebras. J. Differential Equations (to appear). | MR 851912 | Zbl 0593.46056

[8] J. Dixmier and P. Malliavin: Factorisations de fonctions et de vecteurs indéfiniment différentiables. Bull. Sci. Math. 102 (1978) 307-330. | MR 517765 | Zbl 0392.43013

[9] G. Forst: Convolution semigroups of local type, Math. Scand. 34 (1974) 211-218. | MR 355085 | Zbl 0291.43005

[10] G. Lumer: Local operators, regular sets, and evolution equations of diffusion type. Functional Analysis and Approximation, Birkhäuser Verlag, Basel (1981) 51-71. | MR 650264 | Zbl 0478.47022

[11] R. Narasimhan: Analysis on Real and Complex Manifolds, Masson et Cie, Paris (1968). | MR 251745 | Zbl 0188.25803

[12] E. Nelson: Dynamical Theories of Brownian Motion, Princeton University Press (1967). | MR 214150 | Zbl 0165.58502

[13] J. Peetre: Une caractérisation abstraite des opérateurs différentiels, Math. Scand. 7 (1959) 211-218. | MR 112146 | Zbl 0089.32502

Rectification à l'article Une caractérisation abstraite des opérateurs différentiels, Math. Scand. 8 (1960) 116-120. | MR 124611 | Zbl 0097.10402

[14] J.V. Pulè and A. Verbeure: Dissipative operators for infinite classical systems and equilibrium, J. Math. Phys. 20 (1979) 2286-2290. | MR 550706