Nonselfadjoint representations of $C^*$-algebras
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- by Heydar Radjavi PDF
- Proc. Amer. Math. Soc. 47 (1975), 133-136 Request permission
Abstract:
The following strengthening of a result of B. A. Barnes is proved: If $\phi$ is a topologically irreducible representation of a ${C^ \ast }$-algebra $\mathfrak {A}$ on a Banach space such that $\phi (\mathfrak {A})$ contains a nonzero finite-rank operator, then $\phi$ is similar to an irreducible $^ \ast$-representation of $\mathfrak {A}$(and is thus automatically continuous).References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 47 (1975), 133-136
- MSC: Primary 46L05
- DOI: https://doi.org/10.1090/S0002-9939-1975-0358367-4
- MathSciNet review: 0358367