Weakly compact homomorphisms from $C^ *$-algebras are of finite rank
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- by Martin Mathieu PDF
- Proc. Amer. Math. Soc. 107 (1989), 761-762 Request permission
Abstract:
We give a straightforward proof of the fact that every weakly compact homomorphism from a ${{\text {C}}^ * }$-algebra is a finite rank operator.References
- Sandra Barkdull Cleveland, Homomorphisms of non-commutative $^{\ast }$-algebras, Pacific J. Math. 13 (1963), 1097โ1109. MR 158274, DOI 10.2140/pjm.1963.13.1097 J. Galรฉ, T. J. Ransford, Weakly compact homomorphisms of Banach algebras, preprint.
- F. Ghahramani, Compact homomorphisms of $C^*$-algebras, Proc. Amer. Math. Soc. 103 (1988), no.ย 2, 458โ462. MR 943066, DOI 10.1090/S0002-9939-1988-0943066-7
Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 107 (1989), 761-762
- MSC: Primary 46L05
- DOI: https://doi.org/10.1090/S0002-9939-1989-0998737-4
- MathSciNet review: 998737