Commutativity criteria for Banach $^*$-algebras
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- by L. C. Leinbach and Bertram Yood PDF
- Proc. Amer. Math. Soc. 125 (1997), 2307-2312 Request permission
Abstract:
Let $A$ be a Banach $^*$-algebra with an identity. Necessary and sufficient conditions are given for $A$ to be commutative modulo its $^*$-radical and for $A$ to be commutative if $A$ has a faithful $^*$-representation as operators on a Hilbert space.References
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Additional Information
- L. C. Leinbach
- Affiliation: Department of Mathematics, Gettysburg College, Gettysburg, Pennsylvania 17325
- Bertram Yood
- Affiliation: Department of Mathematics, Pennsylvania State University, University Park, Pennsylvania 16802
- Received by editor(s): October 12, 1995
- Received by editor(s) in revised form: January 30, 1996
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 2307-2312
- MSC (1991): Primary 46H10
- DOI: https://doi.org/10.1090/S0002-9939-97-03854-9
- MathSciNet review: 1389526