Local automorphisms

Author:
Randall Crist

Journal:
Proc. Amer. Math. Soc. **128** (2000), 1409-1414

MSC (1991):
Primary 47D25

DOI:
https://doi.org/10.1090/S0002-9939-99-05282-X

Published electronically:
August 5, 1999

MathSciNet review:
1657786

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Abstract | References | Similar Articles | Additional Information

Abstract: We show that any linear map on a finite dimensional CSL algebra which at each point is equal to the value of some automorphism of is either an automorphism or can be factored as an automorphism and the transpose of a self-adjoint summand of . 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:
https://doi.org/10.1090/S0002-9939-99-05282-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