Spectral isometries on non-simple C*-algebras
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- by Martin Mathieu and Ahmed R. Sourour PDF
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Abstract:
We prove that unital surjective spectral isometries on certain non-simple unital C*-algebras are Jordan isomorphisms. Along the way, we establish several general facts in the setting of semisimple Banach algebras.References
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Additional Information
- Martin Mathieu
- Affiliation: Department of Pure Mathematics, Queen’s University Belfast, Belfast BT7 1NN, Northern Ireland
- MR Author ID: 201466
- Email: m.m@qub.ac.uk
- Ahmed R. Sourour
- Affiliation: Department of Mathematics and Statistics, University of Victoria, Victoria, BC, Canada V8W 3R4
- Email: sourour@math.uvic.ca
- Received by editor(s): July 25, 2011
- Received by editor(s) in revised form: February 16, 2012
- Published electronically: August 27, 2013
- Additional Notes: This paper was written during a visit of the first-named author to the University of Victoria in May 2011, supported by a Research in Pairs grant of the London Mathematical Society
The second-named author’s research was supported by an NSERC Discovery Grant - Communicated by: Thomas Schlumprecht
- © Copyright 2013 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 142 (2014), 129-135
- MSC (2010): Primary 47A65, 47A10, 47B48, 46H10, 46L05
- DOI: https://doi.org/10.1090/S0002-9939-2013-11704-1
- MathSciNet review: 3119188