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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Weakly compact homomorphisms from $ C\sp *$-algebras are of finite rank


Author: Martin Mathieu
Journal: Proc. Amer. Math. Soc. 107 (1989), 761-762
MSC: Primary 46L05
MathSciNet review: 998737
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Abstract: We give a straightforward proof of the fact that every weakly compact homomorphism from a $ {{\text{C}}^ * }$-algebra is a finite rank operator.


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DOI: https://doi.org/10.1090/S0002-9939-1989-0998737-4
Keywords: Weakly compact homomorphisms, $ {{\text{C}}^ * }$-algebras
Article copyright: © Copyright 1989 American Mathematical Society