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

 

Local Jordan $^*$-Derivations
of Standard Operator Algebras


Authors: Lajos Molnár and Peter Semrl
Journal: Proc. Amer. Math. Soc. 125 (1997), 447-454
MSC (1991): Primary 47B47, 47D25
MathSciNet review: 1350958
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Abstract: We prove that on standard operator algebras every local Jordan $^*$-derivation is a Jordan $^*$-derivation.


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Additional Information

Lajos Molnár
Affiliation: Institute of Mathematics, Lajos Kossuth University, H-4010 Debrecen, P.O.Box 12, Hungary
Email: molnarl@math.klte.hu

Peter Semrl
Affiliation: Faculty of Technical Sciences, University of Maribor, Smetanova 17, P.O.Box 224, 62000 Maribor, Slovenia
Email: peter.semrl@uni-lj.si

DOI: http://dx.doi.org/10.1090/S0002-9939-97-03594-6
PII: S 0002-9939(97)03594-6
Keywords: Standard operator algebra, Jordan $^*$-derivation, local Jordan $^*$-derivation
Received by editor(s): August 4, 1995
Additional Notes: The first author was partially supported by the Hungarian National Research Science Foundation, and the second author was supported by a grant from the Ministry of Science and Technology of Slovenia
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1997 American Mathematical Society