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 | References | Similar Articles | Additional Information

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

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