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Closable derivations of simple C*-algebras

Published online by Cambridge University Press:  18 May 2009

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.

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Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1983