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The Product of two (Unbounded) Derivations

Published online by Cambridge University Press:  20 November 2018

Steen Pedersen
Steen Pedersen*
Affiliation:
Department of Mathematics Wright State University Dayton, Ohio 45435, USA
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Abstract

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We characterize when the product of two (unbounded) derivations of a C*-algebra is a derivation.

Keywords

46L4047B0547B47
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 33 , Issue 3 , 01 September 1990 , pp. 345 - 348
Copyright
Copyright © Canadian Mathematical Society 1990

References

1. Bratteli, O. and Robinson, D. W., Operator algebras and quantum Statistical Mechanics I, Springer- Verlag, New York-Heidelberg-Berlin, 1979.Google Scholar
2. Fong, C K. and Sourour, A. R., On the operator identity ΣAkXBk = 0, Canad. J. Math. 31 (1979), 845–857.Google Scholar
3. Mathieu, M., Elementary operators on prime C*-algebras, I, Math. Ann. (1989), in press.Google Scholar
4. Mathieu, M., Properties of the product of two derivations of a C*-algebra, Canad. Math. Bull. 32 (1989), 490–497.Google Scholar
5. Pedersen, G. K., C*-algebras and their automorphism groups, Academic Press, London, 1979.Google Scholar
6. Posner, E. C., Derivations in prime rings, Proc. Amer. Math. Soc. 8 (1957), 1093–1100.Google Scholar