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Local Jordan  -Derivations of Standard Operator Algebras
Author(s):
Lajos
Molnár;
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.
References:
- [1]
- M. Bre\v{s}ar and P. \v{S}emrl, Mappings which preserve idempotents, local automorphisms and local derivations, Canad. J. Math. 45 (1993), 483-496. MR 94k:47054
- [2]
- M. Bre\v{s}ar and P. \v{S}emrl, On local automorphisms and mappings that preserve idempotents, Studia Math. 113 (1995), 101-108.
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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:
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
Copyright of article:
Copyright
1997,
American Mathematical Society
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