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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 automorphisms


Author: Randall Crist
Journal: Proc. Amer. Math. Soc. 128 (2000), 1409-1414
MSC (1991): Primary 47D25
Published electronically: August 5, 1999
MathSciNet review: 1657786
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Abstract: We show that any linear map on a finite dimensional CSL algebra $\mathcal{A}$ which at each point is equal to the value of some automorphism of $\mathcal{A}$ is either an automorphism or can be factored as an automorphism and the transpose of a self-adjoint summand of $\mathcal{A}$. New examples of local mappings are constructed.


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Additional Information

Randall Crist
Affiliation: Department of Mathematics, Creighton University, Omaha, Nebraska 68178
Email: crist@creighton.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-99-05282-X
PII: S 0002-9939(99)05282-X
Received by editor(s): June 30, 1998
Published electronically: August 5, 1999
Communicated by: David R. Larson
Article copyright: © Copyright 2000 American Mathematical Society