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Proceedings of the American Mathematical Society

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

 

 

A general Hoffman-Wermer theorem for algebras of operator fields


Author: D. C. Taylor
Journal: Proc. Amer. Math. Soc. 52 (1975), 212-216
MSC: Primary 46L99
DOI: https://doi.org/10.1090/S0002-9939-1975-0385594-2
MathSciNet review: 0385594
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Abstract: Let $ A$ be a closed separating subalgebra of $ C(T)$ that contains the identity. It is known that $ \operatorname{Re} A$ is uniformly closed only if $ A = C(T)$. In this note it is shown that this property characterizes all maximal full algebras of operator fields and not just $ C(T)$.


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DOI: https://doi.org/10.1090/S0002-9939-1975-0385594-2
Article copyright: © Copyright 1975 American Mathematical Society