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Closable derivations of simple C*-algebras

Published online by Cambridge University Press:  18 May 2009

Assadollah Niknam
Assadollah Niknam
Affiliation:
Department of Mathematics, Mashhad University, Mashhad, Iran.
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In this note we show that any derivation of a simple C*-algebra, whose range is not dense, is closable. We also derive a necessary and sufficient condition for a *-derivation of a C*-algebra, which is defined on the domain of a closed *- derivation, to be closed.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 24 , Issue 2 , July 1983 , pp. 181 - 183
Copyright
Copyright © Glasgow Mathematical Journal Trust 1983

References

REFERENCES

1.Longo, R., Automatic relative boundedness of derivation in C*-algebras, J. Functional Analysis 34 (1979), 21–28.CrossRefGoogle Scholar
2.Sakai, S., Recent development in the theory of unbounded derivations in C*-algebra, in C*-algebras and applications to physics, Lecture Notes in Mathematics, No. 650, (Springer-Verlag, 1978).Google Scholar
3.Sakai, S., The theory of unbounded derivations in C*-algebras (Copenhagen University lecture notes, 1977).Google Scholar
4.Sinclair, Allan M., Automatic continuity of linear operators, London Mathematical Society Lecture Note Series 21 (Cambridge University Press, 1976).CrossRefGoogle Scholar