A note on invariance of spectrum for symmetric Banach *-algebras
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- by Bruce A. Barnes PDF
- Proc. Amer. Math. Soc. 126 (1998), 3545-3547 Request permission
Abstract:
Let $A$ be a symmetric Banach $^*$-algebra, let $B$ be a Banach algebra, and assume that $A\subseteq B$. A result is proved giving conditions which imply that every element of $A$ has the same spectrum in both $A$ and $B$.References
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- John Daughtry, Alan Lambert, and Barnet Weinstock, Invariance of spectrum for representations of $C^*$-algebras on Banach spaces, Proc. Amer. Math. Soc. 125 (1997), no. 1, 189–198. MR 1346968, DOI 10.1090/S0002-9939-97-03536-3
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Additional Information
- Bruce A. Barnes
- Affiliation: Department of Mathematics, University of Oregon, Eugene, Oregon 97403
- Email: barnes@darkwing.uoregon.edu
- Received by editor(s): April 11, 1997
- Communicated by: David R. Larson
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 3545-3547
- MSC (1991): Primary 46K99, 46L05
- DOI: https://doi.org/10.1090/S0002-9939-98-04620-6
- MathSciNet review: 1473655