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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Derivations implemented by local multipliers


Author: Martin Mathieu
Journal: Proc. Amer. Math. Soc. 126 (1998), 1133-1138
MSC (1991): Primary 46L57; Secondary 47B47, 16N60
MathSciNet review: 1452813
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Abstract: A condition on a derivation of an arbitrary C*-algebra is presented entailing that it is implemented as an inner derivation by a local multiplier.


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Additional Information

Martin Mathieu
Affiliation: The Fields Institute for Research in Mathematical Sciences, Waterloo, Ontario, Canada
Address at time of publication: Department of Mathematics, St. Patrick’s College, Maynooth, Co. Kildare, Ireland
Email: mm@maths.may.ie

DOI: http://dx.doi.org/10.1090/S0002-9939-98-04394-9
PII: S 0002-9939(98)04394-9
Keywords: $C^*$-algebras, derivations, local multipliers
Received by editor(s): September 23, 1996
Additional Notes: This work was done while the author was a Visiting Fellow at The Fields Institute for Research in Mathematical Sciences, Waterloo, Ontario, Canada, supported by the Deutsche Forschungsgemeinschaft (DFG), to both of which he is very grateful
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1998 American Mathematical Society